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Finding the Fourth Proportional to 742.63, 1,025.03 and 493.82

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Solution

The fourth proportional to 742.63, 1,025.03 and 493.82 is: 681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.63 : 1,025.03 = 493.82 : x
  2. Step 2: Convert to fraction form
    742.63/1,025.03 = 493.82/x
  3. Step 3: Cross multiply
    742.63x = 1,025.03 × 493.82
  4. Step 4: Simplify right side
    742.63x = 506,177.85
  5. Step 5: Solve for x
    x = 506,177.85/742.63
  6. Step 6: Final answer
    x = 681.61

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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.