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Finding the Fourth Proportional to 1,181.41, 1,769.41 and 565.54

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Solution

The fourth proportional to 1,181.41, 1,769.41 and 565.54 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.41 : 1,769.41 = 565.54 : x
  2. Step 2: Convert to fraction form
    1,181.41/1,769.41 = 565.54/x
  3. Step 3: Cross multiply
    1,181.41x = 1,769.41 × 565.54
  4. Step 4: Simplify right side
    1,181.41x = 1,000,675.14
  5. Step 5: Solve for x
    x = 1,000,675.14/1,181.41
  6. Step 6: Final answer
    x = 847.02

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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.