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Finding the Fourth Proportional to 1,233.80, 1,851.05 and 412.61

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Solution

The fourth proportional to 1,233.80, 1,851.05 and 412.61 is: 619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.80 : 1,851.05 = 412.61 : x
  2. Step 2: Convert to fraction form
    1,233.80/1,851.05 = 412.61/x
  3. Step 3: Cross multiply
    1,233.80x = 1,851.05 × 412.61
  4. Step 4: Simplify right side
    1,233.80x = 763,761.74
  5. Step 5: Solve for x
    x = 763,761.74/1,233.80
  6. Step 6: Final answer
    x = 619.03

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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.