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Finding the Fourth Proportional to 892.47, 1,232.18 and 577.89

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Solution

The fourth proportional to 892.47, 1,232.18 and 577.89 is: 797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.47 : 1,232.18 = 577.89 : x
  2. Step 2: Convert to fraction form
    892.47/1,232.18 = 577.89/x
  3. Step 3: Cross multiply
    892.47x = 1,232.18 × 577.89
  4. Step 4: Simplify right side
    892.47x = 712,061.61
  5. Step 5: Solve for x
    x = 712,061.61/892.47
  6. Step 6: Final answer
    x = 797.85

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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.