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Finding the Fourth Proportional to 1,181.84, 1,630.98 and 789.64

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Solution

The fourth proportional to 1,181.84, 1,630.98 and 789.64 is: 1,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.84 : 1,630.98 = 789.64 : x
  2. Step 2: Convert to fraction form
    1,181.84/1,630.98 = 789.64/x
  3. Step 3: Cross multiply
    1,181.84x = 1,630.98 × 789.64
  4. Step 4: Simplify right side
    1,181.84x = 1,287,887.05
  5. Step 5: Solve for x
    x = 1,287,887.05/1,181.84
  6. Step 6: Final answer
    x = 1,089.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.