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Finding the Fourth Proportional to 867.18, 1,196.60 and 494.12

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Solution

The fourth proportional to 867.18, 1,196.60 and 494.12 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.18 : 1,196.60 = 494.12 : x
  2. Step 2: Convert to fraction form
    867.18/1,196.60 = 494.12/x
  3. Step 3: Cross multiply
    867.18x = 1,196.60 × 494.12
  4. Step 4: Simplify right side
    867.18x = 591,263.99
  5. Step 5: Solve for x
    x = 591,263.99/867.18
  6. Step 6: Final answer
    x = 681.82

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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.