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Finding the Fourth Proportional to 966.78, 1,333.84 and 547.08

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Solution

The fourth proportional to 966.78, 1,333.84 and 547.08 is: 754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.78 : 1,333.84 = 547.08 : x
  2. Step 2: Convert to fraction form
    966.78/1,333.84 = 547.08/x
  3. Step 3: Cross multiply
    966.78x = 1,333.84 × 547.08
  4. Step 4: Simplify right side
    966.78x = 729,717.19
  5. Step 5: Solve for x
    x = 729,717.19/966.78
  6. Step 6: Final answer
    x = 754.79

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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.