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Finding the Fourth Proportional to 1,228.42, 1,843.42 and 448.35

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Solution

The fourth proportional to 1,228.42, 1,843.42 and 448.35 is: 672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.42 : 1,843.42 = 448.35 : x
  2. Step 2: Convert to fraction form
    1,228.42/1,843.42 = 448.35/x
  3. Step 3: Cross multiply
    1,228.42x = 1,843.42 × 448.35
  4. Step 4: Simplify right side
    1,228.42x = 826,495.12
  5. Step 5: Solve for x
    x = 826,495.12/1,228.42
  6. Step 6: Final answer
    x = 672.81

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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.