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Finding the Fourth Proportional to 1,181.63, 1,772.83 and 360.07

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Solution

The fourth proportional to 1,181.63, 1,772.83 and 360.07 is: 540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.63 : 1,772.83 = 360.07 : x
  2. Step 2: Convert to fraction form
    1,181.63/1,772.83 = 360.07/x
  3. Step 3: Cross multiply
    1,181.63x = 1,772.83 × 360.07
  4. Step 4: Simplify right side
    1,181.63x = 638,334.03
  5. Step 5: Solve for x
    x = 638,334.03/1,181.63
  6. Step 6: Final answer
    x = 540.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.