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Finding the Fourth Proportional to 1,081.40, 1,620.69 and 487.98

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Solution

The fourth proportional to 1,081.40, 1,620.69 and 487.98 is: 731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.40 : 1,620.69 = 487.98 : x
  2. Step 2: Convert to fraction form
    1,081.40/1,620.69 = 487.98/x
  3. Step 3: Cross multiply
    1,081.40x = 1,620.69 × 487.98
  4. Step 4: Simplify right side
    1,081.40x = 790,864.31
  5. Step 5: Solve for x
    x = 790,864.31/1,081.40
  6. Step 6: Final answer
    x = 731.33

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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.