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Finding the Fourth Proportional to 1,471.77, 2,207.25 and 731.23

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Solution

The fourth proportional to 1,471.77, 2,207.25 and 731.23 is: 1,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.77 : 2,207.25 = 731.23 : x
  2. Step 2: Convert to fraction form
    1,471.77/2,207.25 = 731.23/x
  3. Step 3: Cross multiply
    1,471.77x = 2,207.25 × 731.23
  4. Step 4: Simplify right side
    1,471.77x = 1,614,001.90
  5. Step 5: Solve for x
    x = 1,614,001.90/1,471.77
  6. Step 6: Final answer
    x = 1,096.64

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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.