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Finding the Fourth Proportional to 1,317.42, 1,974.90 and 496.22

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Solution

The fourth proportional to 1,317.42, 1,974.90 and 496.22 is: 743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.42 : 1,974.90 = 496.22 : x
  2. Step 2: Convert to fraction form
    1,317.42/1,974.90 = 496.22/x
  3. Step 3: Cross multiply
    1,317.42x = 1,974.90 × 496.22
  4. Step 4: Simplify right side
    1,317.42x = 979,976.86
  5. Step 5: Solve for x
    x = 979,976.86/1,317.42
  6. Step 6: Final answer
    x = 743.86

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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.