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Finding the Fourth Proportional to 908.87, 1,364.49 and 539.35

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Solution

The fourth proportional to 908.87, 1,364.49 and 539.35 is: 809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.87 : 1,364.49 = 539.35 : x
  2. Step 2: Convert to fraction form
    908.87/1,364.49 = 539.35/x
  3. Step 3: Cross multiply
    908.87x = 1,364.49 × 539.35
  4. Step 4: Simplify right side
    908.87x = 735,934.27
  5. Step 5: Solve for x
    x = 735,934.27/908.87
  6. Step 6: Final answer
    x = 809.73

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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.