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Finding the Fourth Proportional to 996.90, 1,494.73 and 510.29

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Solution

The fourth proportional to 996.90, 1,494.73 and 510.29 is: 765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.90 : 1,494.73 = 510.29 : x
  2. Step 2: Convert to fraction form
    996.90/1,494.73 = 510.29/x
  3. Step 3: Cross multiply
    996.90x = 1,494.73 × 510.29
  4. Step 4: Simplify right side
    996.90x = 762,745.77
  5. Step 5: Solve for x
    x = 762,745.77/996.90
  6. Step 6: Final answer
    x = 765.12

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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.