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Finding the Fourth Proportional to 773.13, 1,160.85 and 466.34

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Solution

The fourth proportional to 773.13, 1,160.85 and 466.34 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.13 : 1,160.85 = 466.34 : x
  2. Step 2: Convert to fraction form
    773.13/1,160.85 = 466.34/x
  3. Step 3: Cross multiply
    773.13x = 1,160.85 × 466.34
  4. Step 4: Simplify right side
    773.13x = 541,344.98
  5. Step 5: Solve for x
    x = 541,344.98/773.13
  6. Step 6: Final answer
    x = 700.20

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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.