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Finding the Fourth Proportional to 1,008.62, 1,512.96 and 278.20

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Solution

The fourth proportional to 1,008.62, 1,512.96 and 278.20 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.62 : 1,512.96 = 278.20 : x
  2. Step 2: Convert to fraction form
    1,008.62/1,512.96 = 278.20/x
  3. Step 3: Cross multiply
    1,008.62x = 1,512.96 × 278.20
  4. Step 4: Simplify right side
    1,008.62x = 420,901.69
  5. Step 5: Solve for x
    x = 420,901.69/1,008.62
  6. Step 6: Final answer
    x = 417.31

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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.