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Finding the Fourth Proportional to 1,211.10, 1,816.95 and 480.66

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Solution

The fourth proportional to 1,211.10, 1,816.95 and 480.66 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.10 : 1,816.95 = 480.66 : x
  2. Step 2: Convert to fraction form
    1,211.10/1,816.95 = 480.66/x
  3. Step 3: Cross multiply
    1,211.10x = 1,816.95 × 480.66
  4. Step 4: Simplify right side
    1,211.10x = 873,335.19
  5. Step 5: Solve for x
    x = 873,335.19/1,211.10
  6. Step 6: Final answer
    x = 721.11

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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.