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Finding the Fourth Proportional to 1,317.52, 1,976.30 and 496.18

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Solution

The fourth proportional to 1,317.52, 1,976.30 and 496.18 is: 744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.52 : 1,976.30 = 496.18 : x
  2. Step 2: Convert to fraction form
    1,317.52/1,976.30 = 496.18/x
  3. Step 3: Cross multiply
    1,317.52x = 1,976.30 × 496.18
  4. Step 4: Simplify right side
    1,317.52x = 980,591.27
  5. Step 5: Solve for x
    x = 980,591.27/1,317.52
  6. Step 6: Final answer
    x = 744.27

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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.