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Finding the Fourth Proportional to 1,181.96, 1,772.96 and 360.18

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Solution

The fourth proportional to 1,181.96, 1,772.96 and 360.18 is: 540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.96 : 1,772.96 = 360.18 : x
  2. Step 2: Convert to fraction form
    1,181.96/1,772.96 = 360.18/x
  3. Step 3: Cross multiply
    1,181.96x = 1,772.96 × 360.18
  4. Step 4: Simplify right side
    1,181.96x = 638,582.93
  5. Step 5: Solve for x
    x = 638,582.93/1,181.96
  6. Step 6: Final answer
    x = 540.28

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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.