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Finding the Fourth Proportional to 1,081.45, 1,622.40 and 432.19

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Solution

The fourth proportional to 1,081.45, 1,622.40 and 432.19 is: 648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.45 : 1,622.40 = 432.19 : x
  2. Step 2: Convert to fraction form
    1,081.45/1,622.40 = 432.19/x
  3. Step 3: Cross multiply
    1,081.45x = 1,622.40 × 432.19
  4. Step 4: Simplify right side
    1,081.45x = 701,185.06
  5. Step 5: Solve for x
    x = 701,185.06/1,081.45
  6. Step 6: Final answer
    x = 648.37

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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.