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Finding the Fourth Proportional to 648.06, 892.80 and 531.42

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Solution

The fourth proportional to 648.06, 892.80 and 531.42 is: 732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 892.80 = 531.42 : x
  2. Step 2: Convert to fraction form
    648.06/892.80 = 531.42/x
  3. Step 3: Cross multiply
    648.06x = 892.80 × 531.42
  4. Step 4: Simplify right side
    648.06x = 474,451.78
  5. Step 5: Solve for x
    x = 474,451.78/648.06
  6. Step 6: Final answer
    x = 732.11

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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.