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Finding the Fourth Proportional to 820.96, 1,132.24 and 506.08

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Solution

The fourth proportional to 820.96, 1,132.24 and 506.08 is: 697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.96 : 1,132.24 = 506.08 : x
  2. Step 2: Convert to fraction form
    820.96/1,132.24 = 506.08/x
  3. Step 3: Cross multiply
    820.96x = 1,132.24 × 506.08
  4. Step 4: Simplify right side
    820.96x = 573,004.02
  5. Step 5: Solve for x
    x = 573,004.02/820.96
  6. Step 6: Final answer
    x = 697.97

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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.