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Finding the Fourth Proportional to 1,502.38, 2,254.92 and 772.39

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Solution

The fourth proportional to 1,502.38, 2,254.92 and 772.39 is: 1,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.38 : 2,254.92 = 772.39 : x
  2. Step 2: Convert to fraction form
    1,502.38/2,254.92 = 772.39/x
  3. Step 3: Cross multiply
    1,502.38x = 2,254.92 × 772.39
  4. Step 4: Simplify right side
    1,502.38x = 1,741,677.66
  5. Step 5: Solve for x
    x = 1,741,677.66/1,502.38
  6. Step 6: Final answer
    x = 1,159.28

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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.