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Finding the Fourth Proportional to 1,073.78, 1,481.84 and 631.66

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Solution

The fourth proportional to 1,073.78, 1,481.84 and 631.66 is: 871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.78 : 1,481.84 = 631.66 : x
  2. Step 2: Convert to fraction form
    1,073.78/1,481.84 = 631.66/x
  3. Step 3: Cross multiply
    1,073.78x = 1,481.84 × 631.66
  4. Step 4: Simplify right side
    1,073.78x = 936,019.05
  5. Step 5: Solve for x
    x = 936,019.05/1,073.78
  6. Step 6: Final answer
    x = 871.70

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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.