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Finding the Fourth Proportional to 732.77, 1,011.24 and 401.23

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Solution

The fourth proportional to 732.77, 1,011.24 and 401.23 is: 553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.77 : 1,011.24 = 401.23 : x
  2. Step 2: Convert to fraction form
    732.77/1,011.24 = 401.23/x
  3. Step 3: Cross multiply
    732.77x = 1,011.24 × 401.23
  4. Step 4: Simplify right side
    732.77x = 405,739.83
  5. Step 5: Solve for x
    x = 405,739.83/732.77
  6. Step 6: Final answer
    x = 553.71

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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.