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Finding the Fourth Proportional to 1,144.24, 1,578.66 and 724.48

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Solution

The fourth proportional to 1,144.24, 1,578.66 and 724.48 is: 999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.24 : 1,578.66 = 724.48 : x
  2. Step 2: Convert to fraction form
    1,144.24/1,578.66 = 724.48/x
  3. Step 3: Cross multiply
    1,144.24x = 1,578.66 × 724.48
  4. Step 4: Simplify right side
    1,144.24x = 1,143,707.60
  5. Step 5: Solve for x
    x = 1,143,707.60/1,144.24
  6. Step 6: Final answer
    x = 999.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.