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Finding the Fourth Proportional to 1,181.96, 1,771.98 and 725

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Solution

The fourth proportional to 1,181.96, 1,771.98 and 725 is: 1,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.96 : 1,771.98 = 725 : x
  2. Step 2: Convert to fraction form
    1,181.96/1,771.98 = 725/x
  3. Step 3: Cross multiply
    1,181.96x = 1,771.98 × 725
  4. Step 4: Simplify right side
    1,181.96x = 1,284,685.50
  5. Step 5: Solve for x
    x = 1,284,685.50/1,181.96
  6. Step 6: Final answer
    x = 1,086.91

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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.