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Finding the Fourth Proportional to 963.74, 1,335.55 and 945.28

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Solution

The fourth proportional to 963.74, 1,335.55 and 945.28 is: 1,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.74 : 1,335.55 = 945.28 : x
  2. Step 2: Convert to fraction form
    963.74/1,335.55 = 945.28/x
  3. Step 3: Cross multiply
    963.74x = 1,335.55 × 945.28
  4. Step 4: Simplify right side
    963.74x = 1,262,468.70
  5. Step 5: Solve for x
    x = 1,262,468.70/963.74
  6. Step 6: Final answer
    x = 1,309.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.