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Finding the Fourth Proportional to 865.23, 1,193.90 and 492.25

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Solution

The fourth proportional to 865.23, 1,193.90 and 492.25 is: 679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.23 : 1,193.90 = 492.25 : x
  2. Step 2: Convert to fraction form
    865.23/1,193.90 = 492.25/x
  3. Step 3: Cross multiply
    865.23x = 1,193.90 × 492.25
  4. Step 4: Simplify right side
    865.23x = 587,690.22
  5. Step 5: Solve for x
    x = 587,690.22/865.23
  6. Step 6: Final answer
    x = 679.23

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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.