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Finding the Fourth Proportional to 997.04, 1,494.34 and 509.82

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Solution

The fourth proportional to 997.04, 1,494.34 and 509.82 is: 764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.04 : 1,494.34 = 509.82 : x
  2. Step 2: Convert to fraction form
    997.04/1,494.34 = 509.82/x
  3. Step 3: Cross multiply
    997.04x = 1,494.34 × 509.82
  4. Step 4: Simplify right side
    997.04x = 761,844.42
  5. Step 5: Solve for x
    x = 761,844.42/997.04
  6. Step 6: Final answer
    x = 764.11

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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.