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Finding the Fourth Proportional to 1,181.78, 1,770.27 and 603.62

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Solution

The fourth proportional to 1,181.78, 1,770.27 and 603.62 is: 904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.78 : 1,770.27 = 603.62 : x
  2. Step 2: Convert to fraction form
    1,181.78/1,770.27 = 603.62/x
  3. Step 3: Cross multiply
    1,181.78x = 1,770.27 × 603.62
  4. Step 4: Simplify right side
    1,181.78x = 1,068,570.38
  5. Step 5: Solve for x
    x = 1,068,570.38/1,181.78
  6. Step 6: Final answer
    x = 904.20

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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.