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Finding the Fourth Proportional to 633.73, 950.77 and 633.73

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Solution

The fourth proportional to 633.73, 950.77 and 633.73 is: 950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.73 : 950.77 = 633.73 : x
  2. Step 2: Convert to fraction form
    633.73/950.77 = 633.73/x
  3. Step 3: Cross multiply
    633.73x = 950.77 × 633.73
  4. Step 4: Simplify right side
    633.73x = 602,531.47
  5. Step 5: Solve for x
    x = 602,531.47/633.73
  6. Step 6: Final answer
    x = 950.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.