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Finding the Fourth Proportional to 733.46, 1,012.26 and 485.30

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Solution

The fourth proportional to 733.46, 1,012.26 and 485.30 is: 669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,012.26 = 485.30 : x
  2. Step 2: Convert to fraction form
    733.46/1,012.26 = 485.30/x
  3. Step 3: Cross multiply
    733.46x = 1,012.26 × 485.30
  4. Step 4: Simplify right side
    733.46x = 491,244.72
  5. Step 5: Solve for x
    x = 491,244.72/733.46
  6. Step 6: Final answer
    x = 669.77

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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.