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Finding the Fourth Proportional to 1,317.85, 1,976.38 and 495.52

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Solution

The fourth proportional to 1,317.85, 1,976.38 and 495.52 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.85 : 1,976.38 = 495.52 : x
  2. Step 2: Convert to fraction form
    1,317.85/1,976.38 = 495.52/x
  3. Step 3: Cross multiply
    1,317.85x = 1,976.38 × 495.52
  4. Step 4: Simplify right side
    1,317.85x = 979,335.82
  5. Step 5: Solve for x
    x = 979,335.82/1,317.85
  6. Step 6: Final answer
    x = 743.13

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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.