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Finding the Fourth Proportional to 1,087.99, 1,629.78 and 868.99

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Solution

The fourth proportional to 1,087.99, 1,629.78 and 868.99 is: 1,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.99 : 1,629.78 = 868.99 : x
  2. Step 2: Convert to fraction form
    1,087.99/1,629.78 = 868.99/x
  3. Step 3: Cross multiply
    1,087.99x = 1,629.78 × 868.99
  4. Step 4: Simplify right side
    1,087.99x = 1,416,250.03
  5. Step 5: Solve for x
    x = 1,416,250.03/1,087.99
  6. Step 6: Final answer
    x = 1,301.72

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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.