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Finding the Fourth Proportional to 717.53, 1,073.66 and 497.07

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Solution

The fourth proportional to 717.53, 1,073.66 and 497.07 is: 743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.53 : 1,073.66 = 497.07 : x
  2. Step 2: Convert to fraction form
    717.53/1,073.66 = 497.07/x
  3. Step 3: Cross multiply
    717.53x = 1,073.66 × 497.07
  4. Step 4: Simplify right side
    717.53x = 533,681.69
  5. Step 5: Solve for x
    x = 533,681.69/717.53
  6. Step 6: Final answer
    x = 743.78

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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.