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Finding the Fourth Proportional to 996.69, 1,492.08 and 737.85

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Solution

The fourth proportional to 996.69, 1,492.08 and 737.85 is: 1,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.69 : 1,492.08 = 737.85 : x
  2. Step 2: Convert to fraction form
    996.69/1,492.08 = 737.85/x
  3. Step 3: Cross multiply
    996.69x = 1,492.08 × 737.85
  4. Step 4: Simplify right side
    996.69x = 1,100,931.23
  5. Step 5: Solve for x
    x = 1,100,931.23/996.69
  6. Step 6: Final answer
    x = 1,104.59

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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.