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Finding the Fourth Proportional to 717.54, 991.08 and 520.74

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Solution

The fourth proportional to 717.54, 991.08 and 520.74 is: 719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.54 : 991.08 = 520.74 : x
  2. Step 2: Convert to fraction form
    717.54/991.08 = 520.74/x
  3. Step 3: Cross multiply
    717.54x = 991.08 × 520.74
  4. Step 4: Simplify right side
    717.54x = 516,095.00
  5. Step 5: Solve for x
    x = 516,095.00/717.54
  6. Step 6: Final answer
    x = 719.26

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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.