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Finding the Fourth Proportional to 1,151.73, 1,588.19 and 758.25

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Solution

The fourth proportional to 1,151.73, 1,588.19 and 758.25 is: 1,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.73 : 1,588.19 = 758.25 : x
  2. Step 2: Convert to fraction form
    1,151.73/1,588.19 = 758.25/x
  3. Step 3: Cross multiply
    1,151.73x = 1,588.19 × 758.25
  4. Step 4: Simplify right side
    1,151.73x = 1,204,241.28
  5. Step 5: Solve for x
    x = 1,204,241.28/1,151.73
  6. Step 6: Final answer
    x = 1,045.59

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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.