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Finding the Fourth Proportional to 1,147.67, 1,584.26 and 852.42

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Solution

The fourth proportional to 1,147.67, 1,584.26 and 852.42 is: 1,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.67 : 1,584.26 = 852.42 : x
  2. Step 2: Convert to fraction form
    1,147.67/1,584.26 = 852.42/x
  3. Step 3: Cross multiply
    1,147.67x = 1,584.26 × 852.42
  4. Step 4: Simplify right side
    1,147.67x = 1,350,454.91
  5. Step 5: Solve for x
    x = 1,350,454.91/1,147.67
  6. Step 6: Final answer
    x = 1,176.69

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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.