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Finding the Fourth Proportional to 1,228.87, 1,841.69 and 498.05

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Solution

The fourth proportional to 1,228.87, 1,841.69 and 498.05 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.87 : 1,841.69 = 498.05 : x
  2. Step 2: Convert to fraction form
    1,228.87/1,841.69 = 498.05/x
  3. Step 3: Cross multiply
    1,228.87x = 1,841.69 × 498.05
  4. Step 4: Simplify right side
    1,228.87x = 917,249.85
  5. Step 5: Solve for x
    x = 917,249.85/1,228.87
  6. Step 6: Final answer
    x = 746.42

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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.