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Finding the Fourth Proportional to 966.71, 1,334.12 and 546.90

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Solution

The fourth proportional to 966.71, 1,334.12 and 546.90 is: 754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.71 : 1,334.12 = 546.90 : x
  2. Step 2: Convert to fraction form
    966.71/1,334.12 = 546.90/x
  3. Step 3: Cross multiply
    966.71x = 1,334.12 × 546.90
  4. Step 4: Simplify right side
    966.71x = 729,633.07
  5. Step 5: Solve for x
    x = 729,633.07/966.71
  6. Step 6: Final answer
    x = 754.76

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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.