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Finding the Fourth Proportional to 1,181.62, 1,772.36 and 359.82

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Solution

The fourth proportional to 1,181.62, 1,772.36 and 359.82 is: 539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.62 : 1,772.36 = 359.82 : x
  2. Step 2: Convert to fraction form
    1,181.62/1,772.36 = 359.82/x
  3. Step 3: Cross multiply
    1,181.62x = 1,772.36 × 359.82
  4. Step 4: Simplify right side
    1,181.62x = 637,738.80
  5. Step 5: Solve for x
    x = 637,738.80/1,181.62
  6. Step 6: Final answer
    x = 539.72

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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.