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Finding the Fourth Proportional to 1,774.82, 2,661.24 and 800.22

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Solution

The fourth proportional to 1,774.82, 2,661.24 and 800.22 is: 1,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.82 : 2,661.24 = 800.22 : x
  2. Step 2: Convert to fraction form
    1,774.82/2,661.24 = 800.22/x
  3. Step 3: Cross multiply
    1,774.82x = 2,661.24 × 800.22
  4. Step 4: Simplify right side
    1,774.82x = 2,129,577.47
  5. Step 5: Solve for x
    x = 2,129,577.47/1,774.82
  6. Step 6: Final answer
    x = 1,199.88

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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.