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Finding the Fourth Proportional to 742.67, 1,025.06 and 494.00

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Solution

The fourth proportional to 742.67, 1,025.06 and 494.00 is: 681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.67 : 1,025.06 = 494.00 : x
  2. Step 2: Convert to fraction form
    742.67/1,025.06 = 494.00/x
  3. Step 3: Cross multiply
    742.67x = 1,025.06 × 494.00
  4. Step 4: Simplify right side
    742.67x = 506,375.89
  5. Step 5: Solve for x
    x = 506,375.89/742.67
  6. Step 6: Final answer
    x = 681.83

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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.