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Finding the Fourth Proportional to 1,234.91, 1,852.31 and 494.75

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Solution

The fourth proportional to 1,234.91, 1,852.31 and 494.75 is: 742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.91 : 1,852.31 = 494.75 : x
  2. Step 2: Convert to fraction form
    1,234.91/1,852.31 = 494.75/x
  3. Step 3: Cross multiply
    1,234.91x = 1,852.31 × 494.75
  4. Step 4: Simplify right side
    1,234.91x = 916,418.64
  5. Step 5: Solve for x
    x = 916,418.64/1,234.91
  6. Step 6: Final answer
    x = 742.10

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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.