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Finding the Fourth Proportional to 733.47, 1,012.19 and 401.90

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Solution

The fourth proportional to 733.47, 1,012.19 and 401.90 is: 554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.47 : 1,012.19 = 401.90 : x
  2. Step 2: Convert to fraction form
    733.47/1,012.19 = 401.90/x
  3. Step 3: Cross multiply
    733.47x = 1,012.19 × 401.90
  4. Step 4: Simplify right side
    733.47x = 406,795.10
  5. Step 5: Solve for x
    x = 406,795.10/733.47
  6. Step 6: Final answer
    x = 554.62

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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.