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Finding the Fourth Proportional to 1,008.45, 1,512.09 and 314.91

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Solution

The fourth proportional to 1,008.45, 1,512.09 and 314.91 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.45 : 1,512.09 = 314.91 : x
  2. Step 2: Convert to fraction form
    1,008.45/1,512.09 = 314.91/x
  3. Step 3: Cross multiply
    1,008.45x = 1,512.09 × 314.91
  4. Step 4: Simplify right side
    1,008.45x = 476,172.26
  5. Step 5: Solve for x
    x = 476,172.26/1,008.45
  6. Step 6: Final answer
    x = 472.18

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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.