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Finding the Fourth Proportional to 742.42, 1,023.65 and 493.34

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Solution

The fourth proportional to 742.42, 1,023.65 and 493.34 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.42 : 1,023.65 = 493.34 : x
  2. Step 2: Convert to fraction form
    742.42/1,023.65 = 493.34/x
  3. Step 3: Cross multiply
    742.42x = 1,023.65 × 493.34
  4. Step 4: Simplify right side
    742.42x = 505,007.49
  5. Step 5: Solve for x
    x = 505,007.49/742.42
  6. Step 6: Final answer
    x = 680.22

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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.