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Finding the Fourth Proportional to 963.78, 1,330.47 and 865.23

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Solution

The fourth proportional to 963.78, 1,330.47 and 865.23 is: 1,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.78 : 1,330.47 = 865.23 : x
  2. Step 2: Convert to fraction form
    963.78/1,330.47 = 865.23/x
  3. Step 3: Cross multiply
    963.78x = 1,330.47 × 865.23
  4. Step 4: Simplify right side
    963.78x = 1,151,162.56
  5. Step 5: Solve for x
    x = 1,151,162.56/963.78
  6. Step 6: Final answer
    x = 1,194.42

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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.