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Finding the Fourth Proportional to 614.92, 849.22 and 527.08

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Solution

The fourth proportional to 614.92, 849.22 and 527.08 is: 727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.92 : 849.22 = 527.08 : x
  2. Step 2: Convert to fraction form
    614.92/849.22 = 527.08/x
  3. Step 3: Cross multiply
    614.92x = 849.22 × 527.08
  4. Step 4: Simplify right side
    614.92x = 447,606.88
  5. Step 5: Solve for x
    x = 447,606.88/614.92
  6. Step 6: Final answer
    x = 727.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.