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Finding the Fourth Proportional to 936.20, 1,402.68 and 448.58

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Solution

The fourth proportional to 936.20, 1,402.68 and 448.58 is: 672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.20 : 1,402.68 = 448.58 : x
  2. Step 2: Convert to fraction form
    936.20/1,402.68 = 448.58/x
  3. Step 3: Cross multiply
    936.20x = 1,402.68 × 448.58
  4. Step 4: Simplify right side
    936.20x = 629,214.19
  5. Step 5: Solve for x
    x = 629,214.19/936.20
  6. Step 6: Final answer
    x = 672.09

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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.