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Finding the Fourth Proportional to 820.29, 1,132.31 and 505.61

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Solution

The fourth proportional to 820.29, 1,132.31 and 505.61 is: 697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.29 : 1,132.31 = 505.61 : x
  2. Step 2: Convert to fraction form
    820.29/1,132.31 = 505.61/x
  3. Step 3: Cross multiply
    820.29x = 1,132.31 × 505.61
  4. Step 4: Simplify right side
    820.29x = 572,504.26
  5. Step 5: Solve for x
    x = 572,504.26/820.29
  6. Step 6: Final answer
    x = 697.93

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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.