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Finding the Fourth Proportional to 1,345.74, 2,020.64 and 798.18

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Solution

The fourth proportional to 1,345.74, 2,020.64 and 798.18 is: 1,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.74 : 2,020.64 = 798.18 : x
  2. Step 2: Convert to fraction form
    1,345.74/2,020.64 = 798.18/x
  3. Step 3: Cross multiply
    1,345.74x = 2,020.64 × 798.18
  4. Step 4: Simplify right side
    1,345.74x = 1,612,834.44
  5. Step 5: Solve for x
    x = 1,612,834.44/1,345.74
  6. Step 6: Final answer
    x = 1,198.47

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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.