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Finding the Fourth Proportional to 996.27, 1,493.90 and 469

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Solution

The fourth proportional to 996.27, 1,493.90 and 469 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.27 : 1,493.90 = 469 : x
  2. Step 2: Convert to fraction form
    996.27/1,493.90 = 469/x
  3. Step 3: Cross multiply
    996.27x = 1,493.90 × 469
  4. Step 4: Simplify right side
    996.27x = 700,639.10
  5. Step 5: Solve for x
    x = 700,639.10/996.27
  6. Step 6: Final answer
    x = 703.26

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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.