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Finding the Fourth Proportional to 1,167.31, 1,750.97 and 779.82

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Solution

The fourth proportional to 1,167.31, 1,750.97 and 779.82 is: 1,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.31 : 1,750.97 = 779.82 : x
  2. Step 2: Convert to fraction form
    1,167.31/1,750.97 = 779.82/x
  3. Step 3: Cross multiply
    1,167.31x = 1,750.97 × 779.82
  4. Step 4: Simplify right side
    1,167.31x = 1,365,441.43
  5. Step 5: Solve for x
    x = 1,365,441.43/1,167.31
  6. Step 6: Final answer
    x = 1,169.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.