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Finding the Fourth Proportional to 1,350.41, 2,024.71 and 484.61

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Solution

The fourth proportional to 1,350.41, 2,024.71 and 484.61 is: 726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.41 : 2,024.71 = 484.61 : x
  2. Step 2: Convert to fraction form
    1,350.41/2,024.71 = 484.61/x
  3. Step 3: Cross multiply
    1,350.41x = 2,024.71 × 484.61
  4. Step 4: Simplify right side
    1,350.41x = 981,183.38
  5. Step 5: Solve for x
    x = 981,183.38/1,350.41
  6. Step 6: Final answer
    x = 726.58

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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.