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Finding the Fourth Proportional to 633.93, 875.93 and 523.21

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Solution

The fourth proportional to 633.93, 875.93 and 523.21 is: 722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.93 : 875.93 = 523.21 : x
  2. Step 2: Convert to fraction form
    633.93/875.93 = 523.21/x
  3. Step 3: Cross multiply
    633.93x = 875.93 × 523.21
  4. Step 4: Simplify right side
    633.93x = 458,299.96
  5. Step 5: Solve for x
    x = 458,299.96/633.93
  6. Step 6: Final answer
    x = 722.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.