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Finding the Fourth Proportional to 1,377.46, 2,066.42 and 452.82

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Solution

The fourth proportional to 1,377.46, 2,066.42 and 452.82 is: 679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.46 : 2,066.42 = 452.82 : x
  2. Step 2: Convert to fraction form
    1,377.46/2,066.42 = 452.82/x
  3. Step 3: Cross multiply
    1,377.46x = 2,066.42 × 452.82
  4. Step 4: Simplify right side
    1,377.46x = 935,705.97
  5. Step 5: Solve for x
    x = 935,705.97/1,377.46
  6. Step 6: Final answer
    x = 679.30

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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.