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Finding the Fourth Proportional to 633.92, 873.82 and 502.68

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Solution

The fourth proportional to 633.92, 873.82 and 502.68 is: 692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.92 : 873.82 = 502.68 : x
  2. Step 2: Convert to fraction form
    633.92/873.82 = 502.68/x
  3. Step 3: Cross multiply
    633.92x = 873.82 × 502.68
  4. Step 4: Simplify right side
    633.92x = 439,251.84
  5. Step 5: Solve for x
    x = 439,251.84/633.92
  6. Step 6: Final answer
    x = 692.91

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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.