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Finding the Fourth Proportional to 633.97, 875.49 and 599.46

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Solution

The fourth proportional to 633.97, 875.49 and 599.46 is: 827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.97 : 875.49 = 599.46 : x
  2. Step 2: Convert to fraction form
    633.97/875.49 = 599.46/x
  3. Step 3: Cross multiply
    633.97x = 875.49 × 599.46
  4. Step 4: Simplify right side
    633.97x = 524,818.24
  5. Step 5: Solve for x
    x = 524,818.24/633.97
  6. Step 6: Final answer
    x = 827.83

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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.