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Finding the Fourth Proportional to 727.31, 1,002.87 and 569.66

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Solution

The fourth proportional to 727.31, 1,002.87 and 569.66 is: 785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.31 : 1,002.87 = 569.66 : x
  2. Step 2: Convert to fraction form
    727.31/1,002.87 = 569.66/x
  3. Step 3: Cross multiply
    727.31x = 1,002.87 × 569.66
  4. Step 4: Simplify right side
    727.31x = 571,289.91
  5. Step 5: Solve for x
    x = 571,289.91/727.31
  6. Step 6: Final answer
    x = 785.49

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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.