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Finding the Fourth Proportional to 1,116.73, 1,542.57 and 930.83

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Solution

The fourth proportional to 1,116.73, 1,542.57 and 930.83 is: 1,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.73 : 1,542.57 = 930.83 : x
  2. Step 2: Convert to fraction form
    1,116.73/1,542.57 = 930.83/x
  3. Step 3: Cross multiply
    1,116.73x = 1,542.57 × 930.83
  4. Step 4: Simplify right side
    1,116.73x = 1,435,874.29
  5. Step 5: Solve for x
    x = 1,435,874.29/1,116.73
  6. Step 6: Final answer
    x = 1,285.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.