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Finding the Fourth Proportional to 771.19, 1,156.92 and 338.65

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Solution

The fourth proportional to 771.19, 1,156.92 and 338.65 is: 508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.19 : 1,156.92 = 338.65 : x
  2. Step 2: Convert to fraction form
    771.19/1,156.92 = 338.65/x
  3. Step 3: Cross multiply
    771.19x = 1,156.92 × 338.65
  4. Step 4: Simplify right side
    771.19x = 391,790.96
  5. Step 5: Solve for x
    x = 391,790.96/771.19
  6. Step 6: Final answer
    x = 508.03

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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.