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Finding the Fourth Proportional to 1,171.42, 1,617.42 and 729.52

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Solution

The fourth proportional to 1,171.42, 1,617.42 and 729.52 is: 1,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.42 : 1,617.42 = 729.52 : x
  2. Step 2: Convert to fraction form
    1,171.42/1,617.42 = 729.52/x
  3. Step 3: Cross multiply
    1,171.42x = 1,617.42 × 729.52
  4. Step 4: Simplify right side
    1,171.42x = 1,179,938.93
  5. Step 5: Solve for x
    x = 1,179,938.93/1,171.42
  6. Step 6: Final answer
    x = 1,007.27

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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.