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Finding the Fourth Proportional to 890.28, 1,224.68 and 724.13

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Solution

The fourth proportional to 890.28, 1,224.68 and 724.13 is: 996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.28 : 1,224.68 = 724.13 : x
  2. Step 2: Convert to fraction form
    890.28/1,224.68 = 724.13/x
  3. Step 3: Cross multiply
    890.28x = 1,224.68 × 724.13
  4. Step 4: Simplify right side
    890.28x = 886,827.53
  5. Step 5: Solve for x
    x = 886,827.53/890.28
  6. Step 6: Final answer
    x = 996.12

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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.