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Finding the Fourth Proportional to 867.83, 1,197.52 and 494.78

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Solution

The fourth proportional to 867.83, 1,197.52 and 494.78 is: 682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.83 : 1,197.52 = 494.78 : x
  2. Step 2: Convert to fraction form
    867.83/1,197.52 = 494.78/x
  3. Step 3: Cross multiply
    867.83x = 1,197.52 × 494.78
  4. Step 4: Simplify right side
    867.83x = 592,510.70
  5. Step 5: Solve for x
    x = 592,510.70/867.83
  6. Step 6: Final answer
    x = 682.75

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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.