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Finding the Fourth Proportional to 876.12, 1,207.31 and 744.90

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Solution

The fourth proportional to 876.12, 1,207.31 and 744.90 is: 1,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.12 : 1,207.31 = 744.90 : x
  2. Step 2: Convert to fraction form
    876.12/1,207.31 = 744.90/x
  3. Step 3: Cross multiply
    876.12x = 1,207.31 × 744.90
  4. Step 4: Simplify right side
    876.12x = 899,321.49
  5. Step 5: Solve for x
    x = 899,321.49/876.12
  6. Step 6: Final answer
    x = 1,026.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.