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Finding the Fourth Proportional to 1,081.85, 1,493.17 and 688.79

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Solution

The fourth proportional to 1,081.85, 1,493.17 and 688.79 is: 950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.85 : 1,493.17 = 688.79 : x
  2. Step 2: Convert to fraction form
    1,081.85/1,493.17 = 688.79/x
  3. Step 3: Cross multiply
    1,081.85x = 1,493.17 × 688.79
  4. Step 4: Simplify right side
    1,081.85x = 1,028,482.58
  5. Step 5: Solve for x
    x = 1,028,482.58/1,081.85
  6. Step 6: Final answer
    x = 950.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.