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Finding the Fourth Proportional to 820.32, 1,132.24 and 506.04

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Solution

The fourth proportional to 820.32, 1,132.24 and 506.04 is: 698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.32 : 1,132.24 = 506.04 : x
  2. Step 2: Convert to fraction form
    820.32/1,132.24 = 506.04/x
  3. Step 3: Cross multiply
    820.32x = 1,132.24 × 506.04
  4. Step 4: Simplify right side
    820.32x = 572,958.73
  5. Step 5: Solve for x
    x = 572,958.73/820.32
  6. Step 6: Final answer
    x = 698.46

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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.