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Finding the Fourth Proportional to 742.09, 1,023.67 and 462.37

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Solution

The fourth proportional to 742.09, 1,023.67 and 462.37 is: 637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.09 : 1,023.67 = 462.37 : x
  2. Step 2: Convert to fraction form
    742.09/1,023.67 = 462.37/x
  3. Step 3: Cross multiply
    742.09x = 1,023.67 × 462.37
  4. Step 4: Simplify right side
    742.09x = 473,314.30
  5. Step 5: Solve for x
    x = 473,314.30/742.09
  6. Step 6: Final answer
    x = 637.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.