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Finding the Fourth Proportional to 633.53, 948.98 and 587.39

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Solution

The fourth proportional to 633.53, 948.98 and 587.39 is: 879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.53 : 948.98 = 587.39 : x
  2. Step 2: Convert to fraction form
    633.53/948.98 = 587.39/x
  3. Step 3: Cross multiply
    633.53x = 948.98 × 587.39
  4. Step 4: Simplify right side
    633.53x = 557,418.43
  5. Step 5: Solve for x
    x = 557,418.43/633.53
  6. Step 6: Final answer
    x = 879.87

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