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Finding the Fourth Proportional to 784.76, 1,082.96 and 435.48

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Solution

The fourth proportional to 784.76, 1,082.96 and 435.48 is: 600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,082.96 = 435.48 : x
  2. Step 2: Convert to fraction form
    784.76/1,082.96 = 435.48/x
  3. Step 3: Cross multiply
    784.76x = 1,082.96 × 435.48
  4. Step 4: Simplify right side
    784.76x = 471,607.42
  5. Step 5: Solve for x
    x = 471,607.42/784.76
  6. Step 6: Final answer
    x = 600.96

Related Problems

Find fourth proportional to 392.38, 541.48 and 217.74
Half scale
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Double scale
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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.