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Finding the Fourth Proportional to 908.74, 1,364.29 and 779.57

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Solution

The fourth proportional to 908.74, 1,364.29 and 779.57 is: 1,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.74 : 1,364.29 = 779.57 : x
  2. Step 2: Convert to fraction form
    908.74/1,364.29 = 779.57/x
  3. Step 3: Cross multiply
    908.74x = 1,364.29 × 779.57
  4. Step 4: Simplify right side
    908.74x = 1,063,567.96
  5. Step 5: Solve for x
    x = 1,063,567.96/908.74
  6. Step 6: Final answer
    x = 1,170.37

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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.