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Finding the Fourth Proportional to 1,102.90, 1,654.26 and 281.14

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Solution

The fourth proportional to 1,102.90, 1,654.26 and 281.14 is: 421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.90 : 1,654.26 = 281.14 : x
  2. Step 2: Convert to fraction form
    1,102.90/1,654.26 = 281.14/x
  3. Step 3: Cross multiply
    1,102.90x = 1,654.26 × 281.14
  4. Step 4: Simplify right side
    1,102.90x = 465,078.66
  5. Step 5: Solve for x
    x = 465,078.66/1,102.90
  6. Step 6: Final answer
    x = 421.69

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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.