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Finding the Fourth Proportional to 890.83, 1,229.58 and 512.76

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Solution

The fourth proportional to 890.83, 1,229.58 and 512.76 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.83 : 1,229.58 = 512.76 : x
  2. Step 2: Convert to fraction form
    890.83/1,229.58 = 512.76/x
  3. Step 3: Cross multiply
    890.83x = 1,229.58 × 512.76
  4. Step 4: Simplify right side
    890.83x = 630,478.14
  5. Step 5: Solve for x
    x = 630,478.14/890.83
  6. Step 6: Final answer
    x = 707.74

Related Problems

Find fourth proportional to 445.41, 614.79 and 256.38
Half scale
Find fourth proportional to 1,781.65, 2,459.16 and 1,025.52
Double scale
Find fourth proportional to 891.83, 1,230.96 and 513.76
Similar ratio
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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.