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Finding the Fourth Proportional to 1,149.92, 1,724.86 and 284.23

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Solution

The fourth proportional to 1,149.92, 1,724.86 and 284.23 is: 426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.92 : 1,724.86 = 284.23 : x
  2. Step 2: Convert to fraction form
    1,149.92/1,724.86 = 284.23/x
  3. Step 3: Cross multiply
    1,149.92x = 1,724.86 × 284.23
  4. Step 4: Simplify right side
    1,149.92x = 490,256.96
  5. Step 5: Solve for x
    x = 490,256.96/1,149.92
  6. Step 6: Final answer
    x = 426.34

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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.