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Finding the Fourth Proportional to 1,306.81, 1,959.61 and 759.16

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Solution

The fourth proportional to 1,306.81, 1,959.61 and 759.16 is: 1,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.81 : 1,959.61 = 759.16 : x
  2. Step 2: Convert to fraction form
    1,306.81/1,959.61 = 759.16/x
  3. Step 3: Cross multiply
    1,306.81x = 1,959.61 × 759.16
  4. Step 4: Simplify right side
    1,306.81x = 1,487,657.53
  5. Step 5: Solve for x
    x = 1,487,657.53/1,306.81
  6. Step 6: Final answer
    x = 1,138.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.