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Finding the Fourth Proportional to 1,165.32, 1,747.17 and 540.27

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Solution

The fourth proportional to 1,165.32, 1,747.17 and 540.27 is: 810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.32 : 1,747.17 = 540.27 : x
  2. Step 2: Convert to fraction form
    1,165.32/1,747.17 = 540.27/x
  3. Step 3: Cross multiply
    1,165.32x = 1,747.17 × 540.27
  4. Step 4: Simplify right side
    1,165.32x = 943,943.54
  5. Step 5: Solve for x
    x = 943,943.54/1,165.32
  6. Step 6: Final answer
    x = 810.03

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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.