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Finding the Fourth Proportional to 963.23, 1,327.88 and 686.75

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Solution

The fourth proportional to 963.23, 1,327.88 and 686.75 is: 946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.23 : 1,327.88 = 686.75 : x
  2. Step 2: Convert to fraction form
    963.23/1,327.88 = 686.75/x
  3. Step 3: Cross multiply
    963.23x = 1,327.88 × 686.75
  4. Step 4: Simplify right side
    963.23x = 911,918.16
  5. Step 5: Solve for x
    x = 911,918.16/963.23
  6. Step 6: Final answer
    x = 946.73

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Why These Related Problems?

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