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Finding the Fourth Proportional to 738.68, 1,020.06 and 477.14

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Solution

The fourth proportional to 738.68, 1,020.06 and 477.14 is: 658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.68 : 1,020.06 = 477.14 : x
  2. Step 2: Convert to fraction form
    738.68/1,020.06 = 477.14/x
  3. Step 3: Cross multiply
    738.68x = 1,020.06 × 477.14
  4. Step 4: Simplify right side
    738.68x = 486,711.43
  5. Step 5: Solve for x
    x = 486,711.43/738.68
  6. Step 6: Final answer
    x = 658.89

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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.