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Finding the Fourth Proportional to 867.77, 1,197.43 and 494.83

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Solution

The fourth proportional to 867.77, 1,197.43 and 494.83 is: 682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.77 : 1,197.43 = 494.83 : x
  2. Step 2: Convert to fraction form
    867.77/1,197.43 = 494.83/x
  3. Step 3: Cross multiply
    867.77x = 1,197.43 × 494.83
  4. Step 4: Simplify right side
    867.77x = 592,518.30
  5. Step 5: Solve for x
    x = 592,518.30/867.77
  6. Step 6: Final answer
    x = 682.81

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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.