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Finding the Fourth Proportional to 1,449.72, 2,174.66 and 409.80

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Solution

The fourth proportional to 1,449.72, 2,174.66 and 409.80 is: 614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.72 : 2,174.66 = 409.80 : x
  2. Step 2: Convert to fraction form
    1,449.72/2,174.66 = 409.80/x
  3. Step 3: Cross multiply
    1,449.72x = 2,174.66 × 409.80
  4. Step 4: Simplify right side
    1,449.72x = 891,175.67
  5. Step 5: Solve for x
    x = 891,175.67/1,449.72
  6. Step 6: Final answer
    x = 614.72

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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.