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Finding the Fourth Proportional to 865.53, 1,194.41 and 492.51

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Solution

The fourth proportional to 865.53, 1,194.41 and 492.51 is: 679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.53 : 1,194.41 = 492.51 : x
  2. Step 2: Convert to fraction form
    865.53/1,194.41 = 492.51/x
  3. Step 3: Cross multiply
    865.53x = 1,194.41 × 492.51
  4. Step 4: Simplify right side
    865.53x = 588,256.41
  5. Step 5: Solve for x
    x = 588,256.41/865.53
  6. Step 6: Final answer
    x = 679.65

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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.