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Finding the Fourth Proportional to 742.11, 1,112.10 and 416.79

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Solution

The fourth proportional to 742.11, 1,112.10 and 416.79 is: 624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.11 : 1,112.10 = 416.79 : x
  2. Step 2: Convert to fraction form
    742.11/1,112.10 = 416.79/x
  3. Step 3: Cross multiply
    742.11x = 1,112.10 × 416.79
  4. Step 4: Simplify right side
    742.11x = 463,514.94
  5. Step 5: Solve for x
    x = 463,514.94/742.11
  6. Step 6: Final answer
    x = 624.59

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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.