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Finding the Fourth Proportional to 1,081.48, 1,621.86 and 432.04

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Solution

The fourth proportional to 1,081.48, 1,621.86 and 432.04 is: 647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.48 : 1,621.86 = 432.04 : x
  2. Step 2: Convert to fraction form
    1,081.48/1,621.86 = 432.04/x
  3. Step 3: Cross multiply
    1,081.48x = 1,621.86 × 432.04
  4. Step 4: Simplify right side
    1,081.48x = 700,708.39
  5. Step 5: Solve for x
    x = 700,708.39/1,081.48
  6. Step 6: Final answer
    x = 647.92

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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.