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Finding the Fourth Proportional to 1,062.52, 1,600.96 and 883.92

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Solution

The fourth proportional to 1,062.52, 1,600.96 and 883.92 is: 1,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.52 : 1,600.96 = 883.92 : x
  2. Step 2: Convert to fraction form
    1,062.52/1,600.96 = 883.92/x
  3. Step 3: Cross multiply
    1,062.52x = 1,600.96 × 883.92
  4. Step 4: Simplify right side
    1,062.52x = 1,415,120.56
  5. Step 5: Solve for x
    x = 1,415,120.56/1,062.52
  6. Step 6: Final answer
    x = 1,331.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.