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Finding the Fourth Proportional to 950.39, 1,424.66 and 488.38

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Solution

The fourth proportional to 950.39, 1,424.66 and 488.38 is: 732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.39 : 1,424.66 = 488.38 : x
  2. Step 2: Convert to fraction form
    950.39/1,424.66 = 488.38/x
  3. Step 3: Cross multiply
    950.39x = 1,424.66 × 488.38
  4. Step 4: Simplify right side
    950.39x = 695,775.45
  5. Step 5: Solve for x
    x = 695,775.45/950.39
  6. Step 6: Final answer
    x = 732.09

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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.