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Finding the Fourth Proportional to 966.83, 1,333.91 and 547.14

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Solution

The fourth proportional to 966.83, 1,333.91 and 547.14 is: 754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.83 : 1,333.91 = 547.14 : x
  2. Step 2: Convert to fraction form
    966.83/1,333.91 = 547.14/x
  3. Step 3: Cross multiply
    966.83x = 1,333.91 × 547.14
  4. Step 4: Simplify right side
    966.83x = 729,835.52
  5. Step 5: Solve for x
    x = 729,835.52/966.83
  6. Step 6: Final answer
    x = 754.87

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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.