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Finding the Fourth Proportional to 1,103.19, 1,654.75 and 281.46

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Solution

The fourth proportional to 1,103.19, 1,654.75 and 281.46 is: 422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.19 : 1,654.75 = 281.46 : x
  2. Step 2: Convert to fraction form
    1,103.19/1,654.75 = 281.46/x
  3. Step 3: Cross multiply
    1,103.19x = 1,654.75 × 281.46
  4. Step 4: Simplify right side
    1,103.19x = 465,745.94
  5. Step 5: Solve for x
    x = 465,745.94/1,103.19
  6. Step 6: Final answer
    x = 422.18

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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.