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Finding the Fourth Proportional to 1,181.16, 1,770.30 and 1,034.55

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Solution

The fourth proportional to 1,181.16, 1,770.30 and 1,034.55 is: 1,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.16 : 1,770.30 = 1,034.55 : x
  2. Step 2: Convert to fraction form
    1,181.16/1,770.30 = 1,034.55/x
  3. Step 3: Cross multiply
    1,181.16x = 1,770.30 × 1,034.55
  4. Step 4: Simplify right side
    1,181.16x = 1,831,463.87
  5. Step 5: Solve for x
    x = 1,831,463.87/1,181.16
  6. Step 6: Final answer
    x = 1,550.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.