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Finding the Fourth Proportional to 678.86, 936.20 and 531.24

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Solution

The fourth proportional to 678.86, 936.20 and 531.24 is: 732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.86 : 936.20 = 531.24 : x
  2. Step 2: Convert to fraction form
    678.86/936.20 = 531.24/x
  3. Step 3: Cross multiply
    678.86x = 936.20 × 531.24
  4. Step 4: Simplify right side
    678.86x = 497,348.22
  5. Step 5: Solve for x
    x = 497,348.22/678.86
  6. Step 6: Final answer
    x = 732.62

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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.