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Finding the Fourth Proportional to 1,182.78, 1,764.92 and 1,059.79

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Solution

The fourth proportional to 1,182.78, 1,764.92 and 1,059.79 is: 1,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.78 : 1,764.92 = 1,059.79 : x
  2. Step 2: Convert to fraction form
    1,182.78/1,764.92 = 1,059.79/x
  3. Step 3: Cross multiply
    1,182.78x = 1,764.92 × 1,059.79
  4. Step 4: Simplify right side
    1,182.78x = 1,870,444.57
  5. Step 5: Solve for x
    x = 1,870,444.57/1,182.78
  6. Step 6: Final answer
    x = 1,581.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.