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Finding the Fourth Proportional to 1,104.29, 1,523.87 and 600.12

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Solution

The fourth proportional to 1,104.29, 1,523.87 and 600.12 is: 828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.29 : 1,523.87 = 600.12 : x
  2. Step 2: Convert to fraction form
    1,104.29/1,523.87 = 600.12/x
  3. Step 3: Cross multiply
    1,104.29x = 1,523.87 × 600.12
  4. Step 4: Simplify right side
    1,104.29x = 914,497.25
  5. Step 5: Solve for x
    x = 914,497.25/1,104.29
  6. Step 6: Final answer
    x = 828.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.