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Finding the Fourth Proportional to 1,151.25, 1,588.82 and 731.55

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Solution

The fourth proportional to 1,151.25, 1,588.82 and 731.55 is: 1,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.25 : 1,588.82 = 731.55 : x
  2. Step 2: Convert to fraction form
    1,151.25/1,588.82 = 731.55/x
  3. Step 3: Cross multiply
    1,151.25x = 1,588.82 × 731.55
  4. Step 4: Simplify right side
    1,151.25x = 1,162,301.27
  5. Step 5: Solve for x
    x = 1,162,301.27/1,151.25
  6. Step 6: Final answer
    x = 1,009.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.