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Finding the Fourth Proportional to 1,144.76, 1,716.24 and 588.56

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Solution

The fourth proportional to 1,144.76, 1,716.24 and 588.56 is: 882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.76 : 1,716.24 = 588.56 : x
  2. Step 2: Convert to fraction form
    1,144.76/1,716.24 = 588.56/x
  3. Step 3: Cross multiply
    1,144.76x = 1,716.24 × 588.56
  4. Step 4: Simplify right side
    1,144.76x = 1,010,110.21
  5. Step 5: Solve for x
    x = 1,010,110.21/1,144.76
  6. Step 6: Final answer
    x = 882.38

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