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Finding the Fourth Proportional to 1,181.66, 1,772.75 and 360.00

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Solution

The fourth proportional to 1,181.66, 1,772.75 and 360.00 is: 540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.66 : 1,772.75 = 360.00 : x
  2. Step 2: Convert to fraction form
    1,181.66/1,772.75 = 360.00/x
  3. Step 3: Cross multiply
    1,181.66x = 1,772.75 × 360.00
  4. Step 4: Simplify right side
    1,181.66x = 638,191.77
  5. Step 5: Solve for x
    x = 638,191.77/1,181.66
  6. Step 6: Final answer
    x = 540.08

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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.