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Finding the Fourth Proportional to 997.50, 1,495.29 and 412.14

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Solution

The fourth proportional to 997.50, 1,495.29 and 412.14 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.50 : 1,495.29 = 412.14 : x
  2. Step 2: Convert to fraction form
    997.50/1,495.29 = 412.14/x
  3. Step 3: Cross multiply
    997.50x = 1,495.29 × 412.14
  4. Step 4: Simplify right side
    997.50x = 616,268.82
  5. Step 5: Solve for x
    x = 616,268.82/997.50
  6. Step 6: Final answer
    x = 617.81

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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.