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Finding the Fourth Proportional to 1,374.29, 2,061.62 and 449.53

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Solution

The fourth proportional to 1,374.29, 2,061.62 and 449.53 is: 674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.29 : 2,061.62 = 449.53 : x
  2. Step 2: Convert to fraction form
    1,374.29/2,061.62 = 449.53/x
  3. Step 3: Cross multiply
    1,374.29x = 2,061.62 × 449.53
  4. Step 4: Simplify right side
    1,374.29x = 926,760.04
  5. Step 5: Solve for x
    x = 926,760.04/1,374.29
  6. Step 6: Final answer
    x = 674.36

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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.