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Finding the Fourth Proportional to 997.17, 1,496.06 and 510.57

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Solution

The fourth proportional to 997.17, 1,496.06 and 510.57 is: 766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.17 : 1,496.06 = 510.57 : x
  2. Step 2: Convert to fraction form
    997.17/1,496.06 = 510.57/x
  3. Step 3: Cross multiply
    997.17x = 1,496.06 × 510.57
  4. Step 4: Simplify right side
    997.17x = 763,841.53
  5. Step 5: Solve for x
    x = 763,841.53/997.17
  6. Step 6: Final answer
    x = 766.01

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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.