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Finding the Fourth Proportional to 967.86, 1,452.39 and 505.89

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Solution

The fourth proportional to 967.86, 1,452.39 and 505.89 is: 759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.86 : 1,452.39 = 505.89 : x
  2. Step 2: Convert to fraction form
    967.86/1,452.39 = 505.89/x
  3. Step 3: Cross multiply
    967.86x = 1,452.39 × 505.89
  4. Step 4: Simplify right side
    967.86x = 734,749.58
  5. Step 5: Solve for x
    x = 734,749.58/967.86
  6. Step 6: Final answer
    x = 759.15

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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.