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Finding the Fourth Proportional to 1,204.80, 1,806.11 and 424.33

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Solution

The fourth proportional to 1,204.80, 1,806.11 and 424.33 is: 636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.80 : 1,806.11 = 424.33 : x
  2. Step 2: Convert to fraction form
    1,204.80/1,806.11 = 424.33/x
  3. Step 3: Cross multiply
    1,204.80x = 1,806.11 × 424.33
  4. Step 4: Simplify right side
    1,204.80x = 766,386.66
  5. Step 5: Solve for x
    x = 766,386.66/1,204.80
  6. Step 6: Final answer
    x = 636.11

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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.