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Finding the Fourth Proportional to 1,103.05, 1,654.71 and 453.70

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Solution

The fourth proportional to 1,103.05, 1,654.71 and 453.70 is: 680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.05 : 1,654.71 = 453.70 : x
  2. Step 2: Convert to fraction form
    1,103.05/1,654.71 = 453.70/x
  3. Step 3: Cross multiply
    1,103.05x = 1,654.71 × 453.70
  4. Step 4: Simplify right side
    1,103.05x = 750,741.93
  5. Step 5: Solve for x
    x = 750,741.93/1,103.05
  6. Step 6: Final answer
    x = 680.61

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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.