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Finding the Fourth Proportional to 663.84, 997.13 and 509.24

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Solution

The fourth proportional to 663.84, 997.13 and 509.24 is: 764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 997.13 = 509.24 : x
  2. Step 2: Convert to fraction form
    663.84/997.13 = 509.24/x
  3. Step 3: Cross multiply
    663.84x = 997.13 × 509.24
  4. Step 4: Simplify right side
    663.84x = 507,778.48
  5. Step 5: Solve for x
    x = 507,778.48/663.84
  6. Step 6: Final answer
    x = 764.91

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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.