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Finding the Fourth Proportional to 1,181.21, 1,768.25 and 810.23

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Solution

The fourth proportional to 1,181.21, 1,768.25 and 810.23 is: 1,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.21 : 1,768.25 = 810.23 : x
  2. Step 2: Convert to fraction form
    1,181.21/1,768.25 = 810.23/x
  3. Step 3: Cross multiply
    1,181.21x = 1,768.25 × 810.23
  4. Step 4: Simplify right side
    1,181.21x = 1,432,682.38
  5. Step 5: Solve for x
    x = 1,432,682.38/1,181.21
  6. Step 6: Final answer
    x = 1,212.90

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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.