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Finding the Fourth Proportional to 1,317.18, 1,976.14 and 495.66

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Solution

The fourth proportional to 1,317.18, 1,976.14 and 495.66 is: 743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.18 : 1,976.14 = 495.66 : x
  2. Step 2: Convert to fraction form
    1,317.18/1,976.14 = 495.66/x
  3. Step 3: Cross multiply
    1,317.18x = 1,976.14 × 495.66
  4. Step 4: Simplify right side
    1,317.18x = 979,493.55
  5. Step 5: Solve for x
    x = 979,493.55/1,317.18
  6. Step 6: Final answer
    x = 743.63

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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.