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Finding the Fourth Proportional to 1,234.03, 1,851.79 and 540.74

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Solution

The fourth proportional to 1,234.03, 1,851.79 and 540.74 is: 811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.03 : 1,851.79 = 540.74 : x
  2. Step 2: Convert to fraction form
    1,234.03/1,851.79 = 540.74/x
  3. Step 3: Cross multiply
    1,234.03x = 1,851.79 × 540.74
  4. Step 4: Simplify right side
    1,234.03x = 1,001,326.31
  5. Step 5: Solve for x
    x = 1,001,326.31/1,234.03
  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.