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Finding the Fourth Proportional to 865.69, 1,194.55 and 492.63

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Solution

The fourth proportional to 865.69, 1,194.55 and 492.63 is: 679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,194.55 = 492.63 : x
  2. Step 2: Convert to fraction form
    865.69/1,194.55 = 492.63/x
  3. Step 3: Cross multiply
    865.69x = 1,194.55 × 492.63
  4. Step 4: Simplify right side
    865.69x = 588,472.17
  5. Step 5: Solve for x
    x = 588,472.17/865.69
  6. Step 6: Final answer
    x = 679.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.