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Finding the Fourth Proportional to 1,313.79, 1,812.99 and 724.33

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Solution

The fourth proportional to 1,313.79, 1,812.99 and 724.33 is: 999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.79 : 1,812.99 = 724.33 : x
  2. Step 2: Convert to fraction form
    1,313.79/1,812.99 = 724.33/x
  3. Step 3: Cross multiply
    1,313.79x = 1,812.99 × 724.33
  4. Step 4: Simplify right side
    1,313.79x = 1,313,195.79
  5. Step 5: Solve for x
    x = 1,313,195.79/1,313.79
  6. Step 6: Final answer
    x = 999.54

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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.