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Finding the Fourth Proportional to 963.20, 1,327.68 and 920

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Solution

The fourth proportional to 963.20, 1,327.68 and 920 is: 1,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.20 : 1,327.68 = 920 : x
  2. Step 2: Convert to fraction form
    963.20/1,327.68 = 920/x
  3. Step 3: Cross multiply
    963.20x = 1,327.68 × 920
  4. Step 4: Simplify right side
    963.20x = 1,221,465.60
  5. Step 5: Solve for x
    x = 1,221,465.60/963.20
  6. Step 6: Final answer
    x = 1,268.13

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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.