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Finding the Fourth Proportional to 1,175.61, 1,764 and 482.79

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Solution

The fourth proportional to 1,175.61, 1,764 and 482.79 is: 724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.61 : 1,764 = 482.79 : x
  2. Step 2: Convert to fraction form
    1,175.61/1,764 = 482.79/x
  3. Step 3: Cross multiply
    1,175.61x = 1,764 × 482.79
  4. Step 4: Simplify right side
    1,175.61x = 851,641.56
  5. Step 5: Solve for x
    x = 851,641.56/1,175.61
  6. Step 6: Final answer
    x = 724.43

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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.