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Finding the Fourth Proportional to 1,317.78, 1,977.01 and 496.29

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Solution

The fourth proportional to 1,317.78, 1,977.01 and 496.29 is: 744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.78 : 1,977.01 = 496.29 : x
  2. Step 2: Convert to fraction form
    1,317.78/1,977.01 = 496.29/x
  3. Step 3: Cross multiply
    1,317.78x = 1,977.01 × 496.29
  4. Step 4: Simplify right side
    1,317.78x = 981,171.27
  5. Step 5: Solve for x
    x = 981,171.27/1,317.78
  6. Step 6: Final answer
    x = 744.56

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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.