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Finding the Fourth Proportional to 1,181.38, 1,770.78 and 906.76

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Solution

The fourth proportional to 1,181.38, 1,770.78 and 906.76 is: 1,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.38 : 1,770.78 = 906.76 : x
  2. Step 2: Convert to fraction form
    1,181.38/1,770.78 = 906.76/x
  3. Step 3: Cross multiply
    1,181.38x = 1,770.78 × 906.76
  4. Step 4: Simplify right side
    1,181.38x = 1,605,672.47
  5. Step 5: Solve for x
    x = 1,605,672.47/1,181.38
  6. Step 6: Final answer
    x = 1,359.15

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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.