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Finding the Fourth Proportional to 1,178.28, 1,626.17 and 759.85

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Solution

The fourth proportional to 1,178.28, 1,626.17 and 759.85 is: 1,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.28 : 1,626.17 = 759.85 : x
  2. Step 2: Convert to fraction form
    1,178.28/1,626.17 = 759.85/x
  3. Step 3: Cross multiply
    1,178.28x = 1,626.17 × 759.85
  4. Step 4: Simplify right side
    1,178.28x = 1,235,637.41
  5. Step 5: Solve for x
    x = 1,235,637.41/1,178.28
  6. Step 6: Final answer
    x = 1,048.68

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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.