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Finding the Fourth Proportional to 687, 948.60 and 531.48

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Solution

The fourth proportional to 687, 948.60 and 531.48 is: 733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687 : 948.60 = 531.48 : x
  2. Step 2: Convert to fraction form
    687/948.60 = 531.48/x
  3. Step 3: Cross multiply
    687x = 948.60 × 531.48
  4. Step 4: Simplify right side
    687x = 504,161.93
  5. Step 5: Solve for x
    x = 504,161.93/687
  6. Step 6: Final answer
    x = 733.86

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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.