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Finding the Fourth Proportional to 742.67, 1,023.71 and 585.05

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Solution

The fourth proportional to 742.67, 1,023.71 and 585.05 is: 806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.67 : 1,023.71 = 585.05 : x
  2. Step 2: Convert to fraction form
    742.67/1,023.71 = 585.05/x
  3. Step 3: Cross multiply
    742.67x = 1,023.71 × 585.05
  4. Step 4: Simplify right side
    742.67x = 598,913.49
  5. Step 5: Solve for x
    x = 598,913.49/742.67
  6. Step 6: Final answer
    x = 806.44

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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.