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Finding the Fourth Proportional to 1,362.39, 2,042.38 and 484.75

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Solution

The fourth proportional to 1,362.39, 2,042.38 and 484.75 is: 726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.39 : 2,042.38 = 484.75 : x
  2. Step 2: Convert to fraction form
    1,362.39/2,042.38 = 484.75/x
  3. Step 3: Cross multiply
    1,362.39x = 2,042.38 × 484.75
  4. Step 4: Simplify right side
    1,362.39x = 990,043.71
  5. Step 5: Solve for x
    x = 990,043.71/1,362.39
  6. Step 6: Final answer
    x = 726.70

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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.