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Finding the Fourth Proportional to 1,081.17, 1,620.82 and 432.36

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Solution

The fourth proportional to 1,081.17, 1,620.82 and 432.36 is: 648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.17 : 1,620.82 = 432.36 : x
  2. Step 2: Convert to fraction form
    1,081.17/1,620.82 = 432.36/x
  3. Step 3: Cross multiply
    1,081.17x = 1,620.82 × 432.36
  4. Step 4: Simplify right side
    1,081.17x = 700,777.74
  5. Step 5: Solve for x
    x = 700,777.74/1,081.17
  6. Step 6: Final answer
    x = 648.17

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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.