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Finding the Fourth Proportional to 1,181.15, 1,772.20 and 596.32

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Solution

The fourth proportional to 1,181.15, 1,772.20 and 596.32 is: 894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.15 : 1,772.20 = 596.32 : x
  2. Step 2: Convert to fraction form
    1,181.15/1,772.20 = 596.32/x
  3. Step 3: Cross multiply
    1,181.15x = 1,772.20 × 596.32
  4. Step 4: Simplify right side
    1,181.15x = 1,056,798.30
  5. Step 5: Solve for x
    x = 1,056,798.30/1,181.15
  6. Step 6: Final answer
    x = 894.72

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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.