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Finding the Fourth Proportional to 997.56, 1,497.25 and 510.95

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Solution

The fourth proportional to 997.56, 1,497.25 and 510.95 is: 766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.56 : 1,497.25 = 510.95 : x
  2. Step 2: Convert to fraction form
    997.56/1,497.25 = 510.95/x
  3. Step 3: Cross multiply
    997.56x = 1,497.25 × 510.95
  4. Step 4: Simplify right side
    997.56x = 765,019.89
  5. Step 5: Solve for x
    x = 765,019.89/997.56
  6. Step 6: Final answer
    x = 766.89

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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.