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Finding the Fourth Proportional to 1,211.49, 1,816.83 and 778.14

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Solution

The fourth proportional to 1,211.49, 1,816.83 and 778.14 is: 1,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.49 : 1,816.83 = 778.14 : x
  2. Step 2: Convert to fraction form
    1,211.49/1,816.83 = 778.14/x
  3. Step 3: Cross multiply
    1,211.49x = 1,816.83 × 778.14
  4. Step 4: Simplify right side
    1,211.49x = 1,413,748.10
  5. Step 5: Solve for x
    x = 1,413,748.10/1,211.49
  6. Step 6: Final answer
    x = 1,166.95

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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.