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Finding the Fourth Proportional to 1,181.46, 1,771.10 and 565.44

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Solution

The fourth proportional to 1,181.46, 1,771.10 and 565.44 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.46 : 1,771.10 = 565.44 : x
  2. Step 2: Convert to fraction form
    1,181.46/1,771.10 = 565.44/x
  3. Step 3: Cross multiply
    1,181.46x = 1,771.10 × 565.44
  4. Step 4: Simplify right side
    1,181.46x = 1,001,450.78
  5. Step 5: Solve for x
    x = 1,001,450.78/1,181.46
  6. Step 6: Final answer
    x = 847.64

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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.