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Finding the Fourth Proportional to 997.64, 1,496.08 and 767.96

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Solution

The fourth proportional to 997.64, 1,496.08 and 767.96 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.64 : 1,496.08 = 767.96 : x
  2. Step 2: Convert to fraction form
    997.64/1,496.08 = 767.96/x
  3. Step 3: Cross multiply
    997.64x = 1,496.08 × 767.96
  4. Step 4: Simplify right side
    997.64x = 1,148,929.60
  5. Step 5: Solve for x
    x = 1,148,929.60/997.64
  6. Step 6: Final answer
    x = 1,151.65

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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.