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Finding the Fourth Proportional to 997.82, 1,497.06 and 510.74

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Solution

The fourth proportional to 997.82, 1,497.06 and 510.74 is: 766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.82 : 1,497.06 = 510.74 : x
  2. Step 2: Convert to fraction form
    997.82/1,497.06 = 510.74/x
  3. Step 3: Cross multiply
    997.82x = 1,497.06 × 510.74
  4. Step 4: Simplify right side
    997.82x = 764,608.42
  5. Step 5: Solve for x
    x = 764,608.42/997.82
  6. Step 6: Final answer
    x = 766.28

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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.