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Finding the Fourth Proportional to 1,171.10, 1,756.17 and 440.29

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Solution

The fourth proportional to 1,171.10, 1,756.17 and 440.29 is: 660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.10 : 1,756.17 = 440.29 : x
  2. Step 2: Convert to fraction form
    1,171.10/1,756.17 = 440.29/x
  3. Step 3: Cross multiply
    1,171.10x = 1,756.17 × 440.29
  4. Step 4: Simplify right side
    1,171.10x = 773,215.31
  5. Step 5: Solve for x
    x = 773,215.31/1,171.10
  6. Step 6: Final answer
    x = 660.25

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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.