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Finding the Fourth Proportional to 732.70, 1,011.13 and 401.12

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Solution

The fourth proportional to 732.70, 1,011.13 and 401.12 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.70 : 1,011.13 = 401.12 : x
  2. Step 2: Convert to fraction form
    732.70/1,011.13 = 401.12/x
  3. Step 3: Cross multiply
    732.70x = 1,011.13 × 401.12
  4. Step 4: Simplify right side
    732.70x = 405,578.41
  5. Step 5: Solve for x
    x = 405,578.41/732.70
  6. Step 6: Final answer
    x = 553.54

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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.