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Finding the Fourth Proportional to 1,081.54, 1,620.06 and 648.46

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Solution

The fourth proportional to 1,081.54, 1,620.06 and 648.46 is: 971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.54 : 1,620.06 = 648.46 : x
  2. Step 2: Convert to fraction form
    1,081.54/1,620.06 = 648.46/x
  3. Step 3: Cross multiply
    1,081.54x = 1,620.06 × 648.46
  4. Step 4: Simplify right side
    1,081.54x = 1,050,544.11
  5. Step 5: Solve for x
    x = 1,050,544.11/1,081.54
  6. Step 6: Final answer
    x = 971.34

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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.