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Finding the Fourth Proportional to 1,086.90, 1,499.56 and 694.15

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Solution

The fourth proportional to 1,086.90, 1,499.56 and 694.15 is: 957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.90 : 1,499.56 = 694.15 : x
  2. Step 2: Convert to fraction form
    1,086.90/1,499.56 = 694.15/x
  3. Step 3: Cross multiply
    1,086.90x = 1,499.56 × 694.15
  4. Step 4: Simplify right side
    1,086.90x = 1,040,916.10
  5. Step 5: Solve for x
    x = 1,040,916.10/1,086.90
  6. Step 6: Final answer
    x = 957.69

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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.