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Finding the Fourth Proportional to 1,317.44, 1,977.19 and 496.46

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Solution

The fourth proportional to 1,317.44, 1,977.19 and 496.46 is: 745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.44 : 1,977.19 = 496.46 : x
  2. Step 2: Convert to fraction form
    1,317.44/1,977.19 = 496.46/x
  3. Step 3: Cross multiply
    1,317.44x = 1,977.19 × 496.46
  4. Step 4: Simplify right side
    1,317.44x = 981,599.45
  5. Step 5: Solve for x
    x = 981,599.45/1,317.44
  6. Step 6: Final answer
    x = 745.08

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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.