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Finding the Fourth Proportional to 1,008.14, 1,512.17 and 314.81

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Solution

The fourth proportional to 1,008.14, 1,512.17 and 314.81 is: 472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.14 : 1,512.17 = 314.81 : x
  2. Step 2: Convert to fraction form
    1,008.14/1,512.17 = 314.81/x
  3. Step 3: Cross multiply
    1,008.14x = 1,512.17 × 314.81
  4. Step 4: Simplify right side
    1,008.14x = 476,046.24
  5. Step 5: Solve for x
    x = 476,046.24/1,008.14
  6. Step 6: Final answer
    x = 472.20

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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.