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Finding the Fourth Proportional to 767.34, 1,151.42 and 764.91

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Solution

The fourth proportional to 767.34, 1,151.42 and 764.91 is: 1,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,151.42 = 764.91 : x
  2. Step 2: Convert to fraction form
    767.34/1,151.42 = 764.91/x
  3. Step 3: Cross multiply
    767.34x = 1,151.42 × 764.91
  4. Step 4: Simplify right side
    767.34x = 880,728.85
  5. Step 5: Solve for x
    x = 880,728.85/767.34
  6. Step 6: Final answer
    x = 1,147.77

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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.