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Finding the Fourth Proportional to 733.20, 1,011.81 and 401.63

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Solution

The fourth proportional to 733.20, 1,011.81 and 401.63 is: 554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 1,011.81 = 401.63 : x
  2. Step 2: Convert to fraction form
    733.20/1,011.81 = 401.63/x
  3. Step 3: Cross multiply
    733.20x = 1,011.81 × 401.63
  4. Step 4: Simplify right side
    733.20x = 406,368.19
  5. Step 5: Solve for x
    x = 406,368.19/733.20
  6. Step 6: Final answer
    x = 554.24

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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.