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Finding the Fourth Proportional to 1,073.34, 1,481.42 and 631.25

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Solution

The fourth proportional to 1,073.34, 1,481.42 and 631.25 is: 871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.34 : 1,481.42 = 631.25 : x
  2. Step 2: Convert to fraction form
    1,073.34/1,481.42 = 631.25/x
  3. Step 3: Cross multiply
    1,073.34x = 1,481.42 × 631.25
  4. Step 4: Simplify right side
    1,073.34x = 935,135.81
  5. Step 5: Solve for x
    x = 935,135.81/1,073.34
  6. Step 6: Final answer
    x = 871.24

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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.