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Finding the Fourth Proportional to 757, 1,134.72 and 269.68

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Solution

The fourth proportional to 757, 1,134.72 and 269.68 is: 404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    757 : 1,134.72 = 269.68 : x
  2. Step 2: Convert to fraction form
    757/1,134.72 = 269.68/x
  3. Step 3: Cross multiply
    757x = 1,134.72 × 269.68
  4. Step 4: Simplify right side
    757x = 306,011.29
  5. Step 5: Solve for x
    x = 306,011.29/757
  6. Step 6: Final answer
    x = 404.24

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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.