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Finding the Fourth Proportional to 1,313.88, 1,813.14 and 724.41

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Solution

The fourth proportional to 1,313.88, 1,813.14 and 724.41 is: 999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.88 : 1,813.14 = 724.41 : x
  2. Step 2: Convert to fraction form
    1,313.88/1,813.14 = 724.41/x
  3. Step 3: Cross multiply
    1,313.88x = 1,813.14 × 724.41
  4. Step 4: Simplify right side
    1,313.88x = 1,313,456.75
  5. Step 5: Solve for x
    x = 1,313,456.75/1,313.88
  6. Step 6: Final answer
    x = 999.68

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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.