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Finding the Fourth Proportional to 869.36, 1,300.56 and 580.88

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Solution

The fourth proportional to 869.36, 1,300.56 and 580.88 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.36 : 1,300.56 = 580.88 : x
  2. Step 2: Convert to fraction form
    869.36/1,300.56 = 580.88/x
  3. Step 3: Cross multiply
    869.36x = 1,300.56 × 580.88
  4. Step 4: Simplify right side
    869.36x = 755,469.29
  5. Step 5: Solve for x
    x = 755,469.29/869.36
  6. Step 6: Final answer
    x = 868.99

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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.