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Finding the Fourth Proportional to 997.65, 1,494.45 and 509.49

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Solution

The fourth proportional to 997.65, 1,494.45 and 509.49 is: 763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.65 : 1,494.45 = 509.49 : x
  2. Step 2: Convert to fraction form
    997.65/1,494.45 = 509.49/x
  3. Step 3: Cross multiply
    997.65x = 1,494.45 × 509.49
  4. Step 4: Simplify right side
    997.65x = 761,407.33
  5. Step 5: Solve for x
    x = 761,407.33/997.65
  6. Step 6: Final answer
    x = 763.20

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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.