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Finding the Fourth Proportional to 1,167.31, 1,759 and 966.39

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Solution

The fourth proportional to 1,167.31, 1,759 and 966.39 is: 1,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.31 : 1,759 = 966.39 : x
  2. Step 2: Convert to fraction form
    1,167.31/1,759 = 966.39/x
  3. Step 3: Cross multiply
    1,167.31x = 1,759 × 966.39
  4. Step 4: Simplify right side
    1,167.31x = 1,699,880.01
  5. Step 5: Solve for x
    x = 1,699,880.01/1,167.31
  6. Step 6: Final answer
    x = 1,456.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.