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Finding the Fourth Proportional to 1,103.45, 1,653.96 and 453.83

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Solution

The fourth proportional to 1,103.45, 1,653.96 and 453.83 is: 680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.45 : 1,653.96 = 453.83 : x
  2. Step 2: Convert to fraction form
    1,103.45/1,653.96 = 453.83/x
  3. Step 3: Cross multiply
    1,103.45x = 1,653.96 × 453.83
  4. Step 4: Simplify right side
    1,103.45x = 750,616.67
  5. Step 5: Solve for x
    x = 750,616.67/1,103.45
  6. Step 6: Final answer
    x = 680.25

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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.