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Finding the Fourth Proportional to 1,180.12, 1,767.30 and 892.12

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Solution

The fourth proportional to 1,180.12, 1,767.30 and 892.12 is: 1,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.12 : 1,767.30 = 892.12 : x
  2. Step 2: Convert to fraction form
    1,180.12/1,767.30 = 892.12/x
  3. Step 3: Cross multiply
    1,180.12x = 1,767.30 × 892.12
  4. Step 4: Simplify right side
    1,180.12x = 1,576,643.68
  5. Step 5: Solve for x
    x = 1,576,643.68/1,180.12
  6. Step 6: Final answer
    x = 1,336.00

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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.