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Finding the Fourth Proportional to 1,169.25, 1,753.92 and 303.63

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Solution

The fourth proportional to 1,169.25, 1,753.92 and 303.63 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.25 : 1,753.92 = 303.63 : x
  2. Step 2: Convert to fraction form
    1,169.25/1,753.92 = 303.63/x
  3. Step 3: Cross multiply
    1,169.25x = 1,753.92 × 303.63
  4. Step 4: Simplify right side
    1,169.25x = 532,542.73
  5. Step 5: Solve for x
    x = 532,542.73/1,169.25
  6. Step 6: Final answer
    x = 455.46

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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.