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Finding the Fourth Proportional to 1,149.57, 1,724.67 and 456.33

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Solution

The fourth proportional to 1,149.57, 1,724.67 and 456.33 is: 684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.57 : 1,724.67 = 456.33 : x
  2. Step 2: Convert to fraction form
    1,149.57/1,724.67 = 456.33/x
  3. Step 3: Cross multiply
    1,149.57x = 1,724.67 × 456.33
  4. Step 4: Simplify right side
    1,149.57x = 787,018.66
  5. Step 5: Solve for x
    x = 787,018.66/1,149.57
  6. Step 6: Final answer
    x = 684.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.