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Finding the Fourth Proportional to 1,228.45, 1,843.12 and 612.10

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Solution

The fourth proportional to 1,228.45, 1,843.12 and 612.10 is: 918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.45 : 1,843.12 = 612.10 : x
  2. Step 2: Convert to fraction form
    1,228.45/1,843.12 = 612.10/x
  3. Step 3: Cross multiply
    1,228.45x = 1,843.12 × 612.10
  4. Step 4: Simplify right side
    1,228.45x = 1,128,170.69
  5. Step 5: Solve for x
    x = 1,128,170.69/1,228.45
  6. Step 6: Final answer
    x = 918.37

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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.