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Finding the Fourth Proportional to 997.69, 1,496.57 and 510.17

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Solution

The fourth proportional to 997.69, 1,496.57 and 510.17 is: 765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.69 : 1,496.57 = 510.17 : x
  2. Step 2: Convert to fraction form
    997.69/1,496.57 = 510.17/x
  3. Step 3: Cross multiply
    997.69x = 1,496.57 × 510.17
  4. Step 4: Simplify right side
    997.69x = 763,498.82
  5. Step 5: Solve for x
    x = 763,498.82/997.69
  6. Step 6: Final answer
    x = 765.27

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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.