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Finding the Fourth Proportional to 1,073.44, 1,480.88 and 631.20

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Solution

The fourth proportional to 1,073.44, 1,480.88 and 631.20 is: 870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.44 : 1,480.88 = 631.20 : x
  2. Step 2: Convert to fraction form
    1,073.44/1,480.88 = 631.20/x
  3. Step 3: Cross multiply
    1,073.44x = 1,480.88 × 631.20
  4. Step 4: Simplify right side
    1,073.44x = 934,731.46
  5. Step 5: Solve for x
    x = 934,731.46/1,073.44
  6. Step 6: Final answer
    x = 870.78

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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.