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Finding the Fourth Proportional to 678.75, 937.17 and 531.11

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Solution

The fourth proportional to 678.75, 937.17 and 531.11 is: 733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 937.17 = 531.11 : x
  2. Step 2: Convert to fraction form
    678.75/937.17 = 531.11/x
  3. Step 3: Cross multiply
    678.75x = 937.17 × 531.11
  4. Step 4: Simplify right side
    678.75x = 497,735.67
  5. Step 5: Solve for x
    x = 497,735.67/678.75
  6. Step 6: Final answer
    x = 733.31

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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.