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Finding the Fourth Proportional to 908.69, 1,364.70 and 545.70

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Solution

The fourth proportional to 908.69, 1,364.70 and 545.70 is: 819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.69 : 1,364.70 = 545.70 : x
  2. Step 2: Convert to fraction form
    908.69/1,364.70 = 545.70/x
  3. Step 3: Cross multiply
    908.69x = 1,364.70 × 545.70
  4. Step 4: Simplify right side
    908.69x = 744,716.79
  5. Step 5: Solve for x
    x = 744,716.79/908.69
  6. Step 6: Final answer
    x = 819.55

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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.