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Finding the Fourth Proportional to 996.93, 1,494.11 and 510.15

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Solution

The fourth proportional to 996.93, 1,494.11 and 510.15 is: 764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.93 : 1,494.11 = 510.15 : x
  2. Step 2: Convert to fraction form
    996.93/1,494.11 = 510.15/x
  3. Step 3: Cross multiply
    996.93x = 1,494.11 × 510.15
  4. Step 4: Simplify right side
    996.93x = 762,217.67
  5. Step 5: Solve for x
    x = 762,217.67/996.93
  6. Step 6: Final answer
    x = 764.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.