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Finding the Fourth Proportional to 867.24, 1,196.74 and 494.26

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Solution

The fourth proportional to 867.24, 1,196.74 and 494.26 is: 682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.24 : 1,196.74 = 494.26 : x
  2. Step 2: Convert to fraction form
    867.24/1,196.74 = 494.26/x
  3. Step 3: Cross multiply
    867.24x = 1,196.74 × 494.26
  4. Step 4: Simplify right side
    867.24x = 591,500.71
  5. Step 5: Solve for x
    x = 591,500.71/867.24
  6. Step 6: Final answer
    x = 682.05

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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.