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Finding the Fourth Proportional to 1,176.06, 1,760.27 and 867.79

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Solution

The fourth proportional to 1,176.06, 1,760.27 and 867.79 is: 1,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.06 : 1,760.27 = 867.79 : x
  2. Step 2: Convert to fraction form
    1,176.06/1,760.27 = 867.79/x
  3. Step 3: Cross multiply
    1,176.06x = 1,760.27 × 867.79
  4. Step 4: Simplify right side
    1,176.06x = 1,527,535.90
  5. Step 5: Solve for x
    x = 1,527,535.90/1,176.06
  6. Step 6: Final answer
    x = 1,298.86

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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.