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Finding the Fourth Proportional to 1,008.57, 1,512.87 and 278.13

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Solution

The fourth proportional to 1,008.57, 1,512.87 and 278.13 is: 417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.57 : 1,512.87 = 278.13 : x
  2. Step 2: Convert to fraction form
    1,008.57/1,512.87 = 278.13/x
  3. Step 3: Cross multiply
    1,008.57x = 1,512.87 × 278.13
  4. Step 4: Simplify right side
    1,008.57x = 420,774.53
  5. Step 5: Solve for x
    x = 420,774.53/1,008.57
  6. Step 6: Final answer
    x = 417.20

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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.