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Finding the Fourth Proportional to 733.96, 1,012.30 and 512.96

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Solution

The fourth proportional to 733.96, 1,012.30 and 512.96 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.96 : 1,012.30 = 512.96 : x
  2. Step 2: Convert to fraction form
    733.96/1,012.30 = 512.96/x
  3. Step 3: Cross multiply
    733.96x = 1,012.30 × 512.96
  4. Step 4: Simplify right side
    733.96x = 519,269.41
  5. Step 5: Solve for x
    x = 519,269.41/733.96
  6. Step 6: Final answer
    x = 707.49

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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.