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Finding the Fourth Proportional to 733.85, 1,012.07 and 512.42

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Solution

The fourth proportional to 733.85, 1,012.07 and 512.42 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.85 : 1,012.07 = 512.42 : x
  2. Step 2: Convert to fraction form
    733.85/1,012.07 = 512.42/x
  3. Step 3: Cross multiply
    733.85x = 1,012.07 × 512.42
  4. Step 4: Simplify right side
    733.85x = 518,601.08
  5. Step 5: Solve for x
    x = 518,601.08/733.85
  6. Step 6: Final answer
    x = 706.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.