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Finding the Fourth Proportional to 1,167.31, 1,750.33 and 727.48

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Solution

The fourth proportional to 1,167.31, 1,750.33 and 727.48 is: 1,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.31 : 1,750.33 = 727.48 : x
  2. Step 2: Convert to fraction form
    1,167.31/1,750.33 = 727.48/x
  3. Step 3: Cross multiply
    1,167.31x = 1,750.33 × 727.48
  4. Step 4: Simplify right side
    1,167.31x = 1,273,330.07
  5. Step 5: Solve for x
    x = 1,273,330.07/1,167.31
  6. Step 6: Final answer
    x = 1,090.82

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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.