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Finding the Fourth Proportional to 1,211.30, 1,817.85 and 800.29

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Solution

The fourth proportional to 1,211.30, 1,817.85 and 800.29 is: 1,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.30 : 1,817.85 = 800.29 : x
  2. Step 2: Convert to fraction form
    1,211.30/1,817.85 = 800.29/x
  3. Step 3: Cross multiply
    1,211.30x = 1,817.85 × 800.29
  4. Step 4: Simplify right side
    1,211.30x = 1,454,798.09
  5. Step 5: Solve for x
    x = 1,454,798.09/1,211.30
  6. Step 6: Final answer
    x = 1,201.03

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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.