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Finding the Fourth Proportional to 997.82, 1,497.28 and 412.74

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Solution

The fourth proportional to 997.82, 1,497.28 and 412.74 is: 619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.82 : 1,497.28 = 412.74 : x
  2. Step 2: Convert to fraction form
    997.82/1,497.28 = 412.74/x
  3. Step 3: Cross multiply
    997.82x = 1,497.28 × 412.74
  4. Step 4: Simplify right side
    997.82x = 617,987.35
  5. Step 5: Solve for x
    x = 617,987.35/997.82
  6. Step 6: Final answer
    x = 619.34

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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.