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Finding the Fourth Proportional to 1,081.12, 1,620.88 and 431.36

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Solution

The fourth proportional to 1,081.12, 1,620.88 and 431.36 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.12 : 1,620.88 = 431.36 : x
  2. Step 2: Convert to fraction form
    1,081.12/1,620.88 = 431.36/x
  3. Step 3: Cross multiply
    1,081.12x = 1,620.88 × 431.36
  4. Step 4: Simplify right side
    1,081.12x = 699,182.80
  5. Step 5: Solve for x
    x = 699,182.80/1,081.12
  6. Step 6: Final answer
    x = 646.72

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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.