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Finding the Fourth Proportional to 842.81, 1,163.84 and 577.26

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Solution

The fourth proportional to 842.81, 1,163.84 and 577.26 is: 797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.81 : 1,163.84 = 577.26 : x
  2. Step 2: Convert to fraction form
    842.81/1,163.84 = 577.26/x
  3. Step 3: Cross multiply
    842.81x = 1,163.84 × 577.26
  4. Step 4: Simplify right side
    842.81x = 671,835.39
  5. Step 5: Solve for x
    x = 671,835.39/842.81
  6. Step 6: Final answer
    x = 797.14

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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.