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Finding the Fourth Proportional to 936.48, 1,402.09 and 496.74

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Solution

The fourth proportional to 936.48, 1,402.09 and 496.74 is: 743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.48 : 1,402.09 = 496.74 : x
  2. Step 2: Convert to fraction form
    936.48/1,402.09 = 496.74/x
  3. Step 3: Cross multiply
    936.48x = 1,402.09 × 496.74
  4. Step 4: Simplify right side
    936.48x = 696,474.19
  5. Step 5: Solve for x
    x = 696,474.19/936.48
  6. Step 6: Final answer
    x = 743.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.