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Finding the Fourth Proportional to 614.20, 921.30 and 512.95

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Solution

The fourth proportional to 614.20, 921.30 and 512.95 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 921.30 = 512.95 : x
  2. Step 2: Convert to fraction form
    614.20/921.30 = 512.95/x
  3. Step 3: Cross multiply
    614.20x = 921.30 × 512.95
  4. Step 4: Simplify right side
    614.20x = 472,580.84
  5. Step 5: Solve for x
    x = 472,580.84/614.20
  6. Step 6: Final answer
    x = 769.43

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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.