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Finding the Fourth Proportional to 997.07, 1,494.48 and 509.09

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Solution

The fourth proportional to 997.07, 1,494.48 and 509.09 is: 763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.07 : 1,494.48 = 509.09 : x
  2. Step 2: Convert to fraction form
    997.07/1,494.48 = 509.09/x
  3. Step 3: Cross multiply
    997.07x = 1,494.48 × 509.09
  4. Step 4: Simplify right side
    997.07x = 760,824.82
  5. Step 5: Solve for x
    x = 760,824.82/997.07
  6. Step 6: Final answer
    x = 763.06

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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.