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Finding the Fourth Proportional to 732.87, 1,011.39 and 401.32

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Solution

The fourth proportional to 732.87, 1,011.39 and 401.32 is: 553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.87 : 1,011.39 = 401.32 : x
  2. Step 2: Convert to fraction form
    732.87/1,011.39 = 401.32/x
  3. Step 3: Cross multiply
    732.87x = 1,011.39 × 401.32
  4. Step 4: Simplify right side
    732.87x = 405,883.97
  5. Step 5: Solve for x
    x = 405,883.97/732.87
  6. Step 6: Final answer
    x = 553.83

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Why These Related Problems?

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