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Finding the Fourth Proportional to 996.82, 1,495.92 and 510.19

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Solution

The fourth proportional to 996.82, 1,495.92 and 510.19 is: 765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.82 : 1,495.92 = 510.19 : x
  2. Step 2: Convert to fraction form
    996.82/1,495.92 = 510.19/x
  3. Step 3: Cross multiply
    996.82x = 1,495.92 × 510.19
  4. Step 4: Simplify right side
    996.82x = 763,203.42
  5. Step 5: Solve for x
    x = 763,203.42/996.82
  6. Step 6: Final answer
    x = 765.64

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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.