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Finding the Fourth Proportional to 821.43, 1,132.92 and 664.02

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Solution

The fourth proportional to 821.43, 1,132.92 and 664.02 is: 915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.43 : 1,132.92 = 664.02 : x
  2. Step 2: Convert to fraction form
    821.43/1,132.92 = 664.02/x
  3. Step 3: Cross multiply
    821.43x = 1,132.92 × 664.02
  4. Step 4: Simplify right side
    821.43x = 752,281.54
  5. Step 5: Solve for x
    x = 752,281.54/821.43
  6. Step 6: Final answer
    x = 915.82

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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.