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Finding the Fourth Proportional to 1,228.20, 1,841.76 and 534.54

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Solution

The fourth proportional to 1,228.20, 1,841.76 and 534.54 is: 801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.20 : 1,841.76 = 534.54 : x
  2. Step 2: Convert to fraction form
    1,228.20/1,841.76 = 534.54/x
  3. Step 3: Cross multiply
    1,228.20x = 1,841.76 × 534.54
  4. Step 4: Simplify right side
    1,228.20x = 984,494.39
  5. Step 5: Solve for x
    x = 984,494.39/1,228.20
  6. Step 6: Final answer
    x = 801.57

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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.