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Finding the Fourth Proportional to 966.14, 1,333.29 and 546.46

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Solution

The fourth proportional to 966.14, 1,333.29 and 546.46 is: 754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.14 : 1,333.29 = 546.46 : x
  2. Step 2: Convert to fraction form
    966.14/1,333.29 = 546.46/x
  3. Step 3: Cross multiply
    966.14x = 1,333.29 × 546.46
  4. Step 4: Simplify right side
    966.14x = 728,589.65
  5. Step 5: Solve for x
    x = 728,589.65/966.14
  6. Step 6: Final answer
    x = 754.12

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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.