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Finding the Fourth Proportional to 732.93, 1,011.44 and 401.36

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Solution

The fourth proportional to 732.93, 1,011.44 and 401.36 is: 553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.93 : 1,011.44 = 401.36 : x
  2. Step 2: Convert to fraction form
    732.93/1,011.44 = 401.36/x
  3. Step 3: Cross multiply
    732.93x = 1,011.44 × 401.36
  4. Step 4: Simplify right side
    732.93x = 405,944.49
  5. Step 5: Solve for x
    x = 405,944.49/732.93
  6. Step 6: Final answer
    x = 553.87

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