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Finding the Fourth Proportional to 1,123.52, 1,688.02 and 1,061.35

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Solution

The fourth proportional to 1,123.52, 1,688.02 and 1,061.35 is: 1,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.52 : 1,688.02 = 1,061.35 : x
  2. Step 2: Convert to fraction form
    1,123.52/1,688.02 = 1,061.35/x
  3. Step 3: Cross multiply
    1,123.52x = 1,688.02 × 1,061.35
  4. Step 4: Simplify right side
    1,123.52x = 1,791,580.03
  5. Step 5: Solve for x
    x = 1,791,580.03/1,123.52
  6. Step 6: Final answer
    x = 1,594.61

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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.