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Finding the Fourth Proportional to 844.32, 1,165.22 and 512.76

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Solution

The fourth proportional to 844.32, 1,165.22 and 512.76 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.32 : 1,165.22 = 512.76 : x
  2. Step 2: Convert to fraction form
    844.32/1,165.22 = 512.76/x
  3. Step 3: Cross multiply
    844.32x = 1,165.22 × 512.76
  4. Step 4: Simplify right side
    844.32x = 597,478.21
  5. Step 5: Solve for x
    x = 597,478.21/844.32
  6. Step 6: Final answer
    x = 707.64

Related Problems

Find fourth proportional to 422.16, 582.61 and 256.38
Half scale
Find fourth proportional to 1,688.64, 2,330.44 and 1,025.52
Double scale
Find fourth proportional to 845.32, 1,166.60 and 513.76
Similar ratio
Find fourth proportional to 1,266.48, 1,747.83 and 769.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.