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Finding the Fourth Proportional to 1,081.12, 1,620.32 and 690.97

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Solution

The fourth proportional to 1,081.12, 1,620.32 and 690.97 is: 1,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.12 : 1,620.32 = 690.97 : x
  2. Step 2: Convert to fraction form
    1,081.12/1,620.32 = 690.97/x
  3. Step 3: Cross multiply
    1,081.12x = 1,620.32 × 690.97
  4. Step 4: Simplify right side
    1,081.12x = 1,119,592.51
  5. Step 5: Solve for x
    x = 1,119,592.51/1,081.12
  6. Step 6: Final answer
    x = 1,035.59

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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.