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Finding the Fourth Proportional to 1,014.89, 1,519.70 and 869.57

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Solution

The fourth proportional to 1,014.89, 1,519.70 and 869.57 is: 1,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.89 : 1,519.70 = 869.57 : x
  2. Step 2: Convert to fraction form
    1,014.89/1,519.70 = 869.57/x
  3. Step 3: Cross multiply
    1,014.89x = 1,519.70 × 869.57
  4. Step 4: Simplify right side
    1,014.89x = 1,321,489.36
  5. Step 5: Solve for x
    x = 1,321,489.36/1,014.89
  6. Step 6: Final answer
    x = 1,302.10

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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.