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Finding the Fourth Proportional to 742.04, 1,024.44 and 493.70

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Solution

The fourth proportional to 742.04, 1,024.44 and 493.70 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.04 : 1,024.44 = 493.70 : x
  2. Step 2: Convert to fraction form
    742.04/1,024.44 = 493.70/x
  3. Step 3: Cross multiply
    742.04x = 1,024.44 × 493.70
  4. Step 4: Simplify right side
    742.04x = 505,766.03
  5. Step 5: Solve for x
    x = 505,766.03/742.04
  6. Step 6: Final answer
    x = 681.59

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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.