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Finding the Fourth Proportional to 1,341.31, 2,012.24 and 648.46

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Solution

The fourth proportional to 1,341.31, 2,012.24 and 648.46 is: 972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.31 : 2,012.24 = 648.46 : x
  2. Step 2: Convert to fraction form
    1,341.31/2,012.24 = 648.46/x
  3. Step 3: Cross multiply
    1,341.31x = 2,012.24 × 648.46
  4. Step 4: Simplify right side
    1,341.31x = 1,304,843.85
  5. Step 5: Solve for x
    x = 1,304,843.85/1,341.31
  6. Step 6: Final answer
    x = 972.82

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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.