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Finding the Fourth Proportional to 1,149.76, 1,724.88 and 380.32

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Solution

The fourth proportional to 1,149.76, 1,724.88 and 380.32 is: 570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.76 : 1,724.88 = 380.32 : x
  2. Step 2: Convert to fraction form
    1,149.76/1,724.88 = 380.32/x
  3. Step 3: Cross multiply
    1,149.76x = 1,724.88 × 380.32
  4. Step 4: Simplify right side
    1,149.76x = 656,006.36
  5. Step 5: Solve for x
    x = 656,006.36/1,149.76
  6. Step 6: Final answer
    x = 570.56

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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.