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Finding the Fourth Proportional to 996.15, 1,492.27 and 773.96

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Solution

The fourth proportional to 996.15, 1,492.27 and 773.96 is: 1,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.15 : 1,492.27 = 773.96 : x
  2. Step 2: Convert to fraction form
    996.15/1,492.27 = 773.96/x
  3. Step 3: Cross multiply
    996.15x = 1,492.27 × 773.96
  4. Step 4: Simplify right side
    996.15x = 1,154,952.25
  5. Step 5: Solve for x
    x = 1,154,952.25/996.15
  6. Step 6: Final answer
    x = 1,159.42

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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.