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Finding the Fourth Proportional to 1,204.12, 1,806.08 and 424.08

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Solution

The fourth proportional to 1,204.12, 1,806.08 and 424.08 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.12 : 1,806.08 = 424.08 : x
  2. Step 2: Convert to fraction form
    1,204.12/1,806.08 = 424.08/x
  3. Step 3: Cross multiply
    1,204.12x = 1,806.08 × 424.08
  4. Step 4: Simplify right side
    1,204.12x = 765,922.41
  5. Step 5: Solve for x
    x = 765,922.41/1,204.12
  6. Step 6: Final answer
    x = 636.08

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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.