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Finding the Fourth Proportional to 842.98, 1,163.10 and 511.42

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Solution

The fourth proportional to 842.98, 1,163.10 and 511.42 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.98 : 1,163.10 = 511.42 : x
  2. Step 2: Convert to fraction form
    842.98/1,163.10 = 511.42/x
  3. Step 3: Cross multiply
    842.98x = 1,163.10 × 511.42
  4. Step 4: Simplify right side
    842.98x = 594,832.60
  5. Step 5: Solve for x
    x = 594,832.60/842.98
  6. Step 6: Final answer
    x = 705.63

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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.