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Finding the Fourth Proportional to 963.66, 1,329.03 and 614.46

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Solution

The fourth proportional to 963.66, 1,329.03 and 614.46 is: 847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.66 : 1,329.03 = 614.46 : x
  2. Step 2: Convert to fraction form
    963.66/1,329.03 = 614.46/x
  3. Step 3: Cross multiply
    963.66x = 1,329.03 × 614.46
  4. Step 4: Simplify right side
    963.66x = 816,635.77
  5. Step 5: Solve for x
    x = 816,635.77/963.66
  6. Step 6: Final answer
    x = 847.43

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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.