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Finding the Fourth Proportional to 966.33, 1,332.05 and 616.41

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Solution

The fourth proportional to 966.33, 1,332.05 and 616.41 is: 849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.33 : 1,332.05 = 616.41 : x
  2. Step 2: Convert to fraction form
    966.33/1,332.05 = 616.41/x
  3. Step 3: Cross multiply
    966.33x = 1,332.05 × 616.41
  4. Step 4: Simplify right side
    966.33x = 821,085.86
  5. Step 5: Solve for x
    x = 821,085.86/966.33
  6. Step 6: Final answer
    x = 849.70

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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.