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Finding the Fourth Proportional to 1,317.66, 1,976.48 and 495.92

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Solution

The fourth proportional to 1,317.66, 1,976.48 and 495.92 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.66 : 1,976.48 = 495.92 : x
  2. Step 2: Convert to fraction form
    1,317.66/1,976.48 = 495.92/x
  3. Step 3: Cross multiply
    1,317.66x = 1,976.48 × 495.92
  4. Step 4: Simplify right side
    1,317.66x = 980,163.60
  5. Step 5: Solve for x
    x = 980,163.60/1,317.66
  6. Step 6: Final answer
    x = 743.87

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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.