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Finding the Fourth Proportional to 1,211.77, 1,817.64 and 800.80

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Solution

The fourth proportional to 1,211.77, 1,817.64 and 800.80 is: 1,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.77 : 1,817.64 = 800.80 : x
  2. Step 2: Convert to fraction form
    1,211.77/1,817.64 = 800.80/x
  3. Step 3: Cross multiply
    1,211.77x = 1,817.64 × 800.80
  4. Step 4: Simplify right side
    1,211.77x = 1,455,566.11
  5. Step 5: Solve for x
    x = 1,455,566.11/1,211.77
  6. Step 6: Final answer
    x = 1,201.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.