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Finding the Fourth Proportional to 966.84, 1,333.89 and 635.45

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Solution

The fourth proportional to 966.84, 1,333.89 and 635.45 is: 876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.84 : 1,333.89 = 635.45 : x
  2. Step 2: Convert to fraction form
    966.84/1,333.89 = 635.45/x
  3. Step 3: Cross multiply
    966.84x = 1,333.89 × 635.45
  4. Step 4: Simplify right side
    966.84x = 847,613.73
  5. Step 5: Solve for x
    x = 847,613.73/966.84
  6. Step 6: Final answer
    x = 876.68

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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.