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Finding the Fourth Proportional to 1,123.52, 1,686.24 and 896.96

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Solution

The fourth proportional to 1,123.52, 1,686.24 and 896.96 is: 1,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.52 : 1,686.24 = 896.96 : x
  2. Step 2: Convert to fraction form
    1,123.52/1,686.24 = 896.96/x
  3. Step 3: Cross multiply
    1,123.52x = 1,686.24 × 896.96
  4. Step 4: Simplify right side
    1,123.52x = 1,512,489.83
  5. Step 5: Solve for x
    x = 1,512,489.83/1,123.52
  6. Step 6: Final answer
    x = 1,346.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.