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Finding the Fourth Proportional to 727.08, 1,002.84 and 517.24

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Solution

The fourth proportional to 727.08, 1,002.84 and 517.24 is: 713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.08 : 1,002.84 = 517.24 : x
  2. Step 2: Convert to fraction form
    727.08/1,002.84 = 517.24/x
  3. Step 3: Cross multiply
    727.08x = 1,002.84 × 517.24
  4. Step 4: Simplify right side
    727.08x = 518,708.96
  5. Step 5: Solve for x
    x = 518,708.96/727.08
  6. Step 6: Final answer
    x = 713.41

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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.