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Finding the Fourth Proportional to 1,143.22, 1,712.79 and 412.33

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Solution

The fourth proportional to 1,143.22, 1,712.79 and 412.33 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.22 : 1,712.79 = 412.33 : x
  2. Step 2: Convert to fraction form
    1,143.22/1,712.79 = 412.33/x
  3. Step 3: Cross multiply
    1,143.22x = 1,712.79 × 412.33
  4. Step 4: Simplify right side
    1,143.22x = 706,234.70
  5. Step 5: Solve for x
    x = 706,234.70/1,143.22
  6. Step 6: Final answer
    x = 617.76

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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.