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Finding the Fourth Proportional to 732.94, 1,011.41 and 401.40

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Solution

The fourth proportional to 732.94, 1,011.41 and 401.40 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.94 : 1,011.41 = 401.40 : x
  2. Step 2: Convert to fraction form
    732.94/1,011.41 = 401.40/x
  3. Step 3: Cross multiply
    732.94x = 1,011.41 × 401.40
  4. Step 4: Simplify right side
    732.94x = 405,977.97
  5. Step 5: Solve for x
    x = 405,977.97/732.94
  6. Step 6: Final answer
    x = 553.91

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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.