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Finding the Fourth Proportional to 614.17, 921.16 and 512.11

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Solution

The fourth proportional to 614.17, 921.16 and 512.11 is: 768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.17 : 921.16 = 512.11 : x
  2. Step 2: Convert to fraction form
    614.17/921.16 = 512.11/x
  3. Step 3: Cross multiply
    614.17x = 921.16 × 512.11
  4. Step 4: Simplify right side
    614.17x = 471,735.25
  5. Step 5: Solve for x
    x = 471,735.25/614.17
  6. Step 6: Final answer
    x = 768.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.