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Finding the Fourth Proportional to 882.02, 1,217.10 and 527.87

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Solution

The fourth proportional to 882.02, 1,217.10 and 527.87 is: 728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.02 : 1,217.10 = 527.87 : x
  2. Step 2: Convert to fraction form
    882.02/1,217.10 = 527.87/x
  3. Step 3: Cross multiply
    882.02x = 1,217.10 × 527.87
  4. Step 4: Simplify right side
    882.02x = 642,470.58
  5. Step 5: Solve for x
    x = 642,470.58/882.02
  6. Step 6: Final answer
    x = 728.41

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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.