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Finding the Fourth Proportional to 1,159.26, 1,737.66 and 748.68

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Solution

The fourth proportional to 1,159.26, 1,737.66 and 748.68 is: 1,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.26 : 1,737.66 = 748.68 : x
  2. Step 2: Convert to fraction form
    1,159.26/1,737.66 = 748.68/x
  3. Step 3: Cross multiply
    1,159.26x = 1,737.66 × 748.68
  4. Step 4: Simplify right side
    1,159.26x = 1,300,951.29
  5. Step 5: Solve for x
    x = 1,300,951.29/1,159.26
  6. Step 6: Final answer
    x = 1,122.23

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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.