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Finding the Fourth Proportional to 1,234.29, 1,851.44 and 494.24

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Solution

The fourth proportional to 1,234.29, 1,851.44 and 494.24 is: 741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.29 : 1,851.44 = 494.24 : x
  2. Step 2: Convert to fraction form
    1,234.29/1,851.44 = 494.24/x
  3. Step 3: Cross multiply
    1,234.29x = 1,851.44 × 494.24
  4. Step 4: Simplify right side
    1,234.29x = 915,043.98
  5. Step 5: Solve for x
    x = 915,043.98/1,234.29
  6. Step 6: Final answer
    x = 741.35

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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.