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Finding the Fourth Proportional to 733.46, 1,012.13 and 401.89

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Solution

The fourth proportional to 733.46, 1,012.13 and 401.89 is: 554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,012.13 = 401.89 : x
  2. Step 2: Convert to fraction form
    733.46/1,012.13 = 401.89/x
  3. Step 3: Cross multiply
    733.46x = 1,012.13 × 401.89
  4. Step 4: Simplify right side
    733.46x = 406,764.93
  5. Step 5: Solve for x
    x = 406,764.93/733.46
  6. Step 6: Final answer
    x = 554.58

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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.