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Finding the Fourth Proportional to 936.82, 1,405.68 and 503.92

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Solution

The fourth proportional to 936.82, 1,405.68 and 503.92 is: 756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.82 : 1,405.68 = 503.92 : x
  2. Step 2: Convert to fraction form
    936.82/1,405.68 = 503.92/x
  3. Step 3: Cross multiply
    936.82x = 1,405.68 × 503.92
  4. Step 4: Simplify right side
    936.82x = 708,350.27
  5. Step 5: Solve for x
    x = 708,350.27/936.82
  6. Step 6: Final answer
    x = 756.12

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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.