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Finding the Fourth Proportional to 1,103.46, 1,654.67 and 487.34

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Solution

The fourth proportional to 1,103.46, 1,654.67 and 487.34 is: 730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.46 : 1,654.67 = 487.34 : x
  2. Step 2: Convert to fraction form
    1,103.46/1,654.67 = 487.34/x
  3. Step 3: Cross multiply
    1,103.46x = 1,654.67 × 487.34
  4. Step 4: Simplify right side
    1,103.46x = 806,378.60
  5. Step 5: Solve for x
    x = 806,378.60/1,103.46
  6. Step 6: Final answer
    x = 730.78

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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.