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Finding the Fourth Proportional to 1,317.74, 1,976.60 and 495.79

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Solution

The fourth proportional to 1,317.74, 1,976.60 and 495.79 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.74 : 1,976.60 = 495.79 : x
  2. Step 2: Convert to fraction form
    1,317.74/1,976.60 = 495.79/x
  3. Step 3: Cross multiply
    1,317.74x = 1,976.60 × 495.79
  4. Step 4: Simplify right side
    1,317.74x = 979,974.81
  5. Step 5: Solve for x
    x = 979,974.81/1,317.74
  6. Step 6: Final answer
    x = 743.68

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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.