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Finding the Fourth Proportional to 1,181.28, 1,772.10 and 603.84

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Solution

The fourth proportional to 1,181.28, 1,772.10 and 603.84 is: 905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.28 : 1,772.10 = 603.84 : x
  2. Step 2: Convert to fraction form
    1,181.28/1,772.10 = 603.84/x
  3. Step 3: Cross multiply
    1,181.28x = 1,772.10 × 603.84
  4. Step 4: Simplify right side
    1,181.28x = 1,070,064.86
  5. Step 5: Solve for x
    x = 1,070,064.86/1,181.28
  6. Step 6: Final answer
    x = 905.85

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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.