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Finding the Fourth Proportional to 717.41, 1,077.91 and 457.53

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Solution

The fourth proportional to 717.41, 1,077.91 and 457.53 is: 687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.41 : 1,077.91 = 457.53 : x
  2. Step 2: Convert to fraction form
    717.41/1,077.91 = 457.53/x
  3. Step 3: Cross multiply
    717.41x = 1,077.91 × 457.53
  4. Step 4: Simplify right side
    717.41x = 493,176.16
  5. Step 5: Solve for x
    x = 493,176.16/717.41
  6. Step 6: Final answer
    x = 687.44

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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.