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Finding the Fourth Proportional to 742, 1,023.64 and 462.32

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Solution

The fourth proportional to 742, 1,023.64 and 462.32 is: 637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    742 : 1,023.64 = 462.32 : x
  2. Step 2: Convert to fraction form
    742/1,023.64 = 462.32/x
  3. Step 3: Cross multiply
    742x = 1,023.64 × 462.32
  4. Step 4: Simplify right side
    742x = 473,249.24
  5. Step 5: Solve for x
    x = 473,249.24/742
  6. Step 6: Final answer
    x = 637.80

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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.