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Finding the Fourth Proportional to 1,181.32, 1,770.93 and 919.89

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Solution

The fourth proportional to 1,181.32, 1,770.93 and 919.89 is: 1,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.32 : 1,770.93 = 919.89 : x
  2. Step 2: Convert to fraction form
    1,181.32/1,770.93 = 919.89/x
  3. Step 3: Cross multiply
    1,181.32x = 1,770.93 × 919.89
  4. Step 4: Simplify right side
    1,181.32x = 1,629,060.80
  5. Step 5: Solve for x
    x = 1,629,060.80/1,181.32
  6. Step 6: Final answer
    x = 1,379.02

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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.