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Finding the Fourth Proportional to 1,081.29, 1,622.56 and 456.54

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Solution

The fourth proportional to 1,081.29, 1,622.56 and 456.54 is: 685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.29 : 1,622.56 = 456.54 : x
  2. Step 2: Convert to fraction form
    1,081.29/1,622.56 = 456.54/x
  3. Step 3: Cross multiply
    1,081.29x = 1,622.56 × 456.54
  4. Step 4: Simplify right side
    1,081.29x = 740,763.54
  5. Step 5: Solve for x
    x = 740,763.54/1,081.29
  6. Step 6: Final answer
    x = 685.07

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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.