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Finding the Fourth Proportional to 674.57, 1,010.02 and 457.71

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Solution

The fourth proportional to 674.57, 1,010.02 and 457.71 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.57 : 1,010.02 = 457.71 : x
  2. Step 2: Convert to fraction form
    674.57/1,010.02 = 457.71/x
  3. Step 3: Cross multiply
    674.57x = 1,010.02 × 457.71
  4. Step 4: Simplify right side
    674.57x = 462,296.25
  5. Step 5: Solve for x
    x = 462,296.25/674.57
  6. Step 6: Final answer
    x = 685.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.