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Finding the Fourth Proportional to 1,211.53, 1,818.28 and 481.59

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Solution

The fourth proportional to 1,211.53, 1,818.28 and 481.59 is: 722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.53 : 1,818.28 = 481.59 : x
  2. Step 2: Convert to fraction form
    1,211.53/1,818.28 = 481.59/x
  3. Step 3: Cross multiply
    1,211.53x = 1,818.28 × 481.59
  4. Step 4: Simplify right side
    1,211.53x = 875,665.47
  5. Step 5: Solve for x
    x = 875,665.47/1,211.53
  6. Step 6: Final answer
    x = 722.78

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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.