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Finding the Fourth Proportional to 1,228.96, 1,843.44 and 613.43

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Solution

The fourth proportional to 1,228.96, 1,843.44 and 613.43 is: 920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.96 : 1,843.44 = 613.43 : x
  2. Step 2: Convert to fraction form
    1,228.96/1,843.44 = 613.43/x
  3. Step 3: Cross multiply
    1,228.96x = 1,843.44 × 613.43
  4. Step 4: Simplify right side
    1,228.96x = 1,130,821.40
  5. Step 5: Solve for x
    x = 1,130,821.40/1,228.96
  6. Step 6: Final answer
    x = 920.15

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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.