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Finding the Fourth Proportional to 1,234.49, 1,852.25 and 540.80

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Solution

The fourth proportional to 1,234.49, 1,852.25 and 540.80 is: 811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.49 : 1,852.25 = 540.80 : x
  2. Step 2: Convert to fraction form
    1,234.49/1,852.25 = 540.80/x
  3. Step 3: Cross multiply
    1,234.49x = 1,852.25 × 540.80
  4. Step 4: Simplify right side
    1,234.49x = 1,001,698.15
  5. Step 5: Solve for x
    x = 1,001,698.15/1,234.49
  6. Step 6: Final answer
    x = 811.43

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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.