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Finding the Fourth Proportional to 1,211.02, 1,816.83 and 480.35

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Solution

The fourth proportional to 1,211.02, 1,816.83 and 480.35 is: 720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.02 : 1,816.83 = 480.35 : x
  2. Step 2: Convert to fraction form
    1,211.02/1,816.83 = 480.35/x
  3. Step 3: Cross multiply
    1,211.02x = 1,816.83 × 480.35
  4. Step 4: Simplify right side
    1,211.02x = 872,702.80
  5. Step 5: Solve for x
    x = 872,702.80/1,211.02
  6. Step 6: Final answer
    x = 720.64

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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.