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Finding the Fourth Proportional to 909.48, 1,366.02 and 779.43

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Solution

The fourth proportional to 909.48, 1,366.02 and 779.43 is: 1,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.48 : 1,366.02 = 779.43 : x
  2. Step 2: Convert to fraction form
    909.48/1,366.02 = 779.43/x
  3. Step 3: Cross multiply
    909.48x = 1,366.02 × 779.43
  4. Step 4: Simplify right side
    909.48x = 1,064,716.97
  5. Step 5: Solve for x
    x = 1,064,716.97/909.48
  6. Step 6: Final answer
    x = 1,170.69

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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.