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Finding the Fourth Proportional to 633.22, 874.45 and 598.71

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Solution

The fourth proportional to 633.22, 874.45 and 598.71 is: 826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.22 : 874.45 = 598.71 : x
  2. Step 2: Convert to fraction form
    633.22/874.45 = 598.71/x
  3. Step 3: Cross multiply
    633.22x = 874.45 × 598.71
  4. Step 4: Simplify right side
    633.22x = 523,538.28
  5. Step 5: Solve for x
    x = 523,538.28/633.22
  6. Step 6: Final answer
    x = 826.79

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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.