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Finding the Fourth Proportional to 1,103.90, 1,654.44 and 453.86

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Solution

The fourth proportional to 1,103.90, 1,654.44 and 453.86 is: 680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.90 : 1,654.44 = 453.86 : x
  2. Step 2: Convert to fraction form
    1,103.90/1,654.44 = 453.86/x
  3. Step 3: Cross multiply
    1,103.90x = 1,654.44 × 453.86
  4. Step 4: Simplify right side
    1,103.90x = 750,884.14
  5. Step 5: Solve for x
    x = 750,884.14/1,103.90
  6. Step 6: Final answer
    x = 680.21

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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.