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Finding the Fourth Proportional to 1,262.25, 1,743.63 and 1,200.73

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Solution

The fourth proportional to 1,262.25, 1,743.63 and 1,200.73 is: 1,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.25 : 1,743.63 = 1,200.73 : x
  2. Step 2: Convert to fraction form
    1,262.25/1,743.63 = 1,200.73/x
  3. Step 3: Cross multiply
    1,262.25x = 1,743.63 × 1,200.73
  4. Step 4: Simplify right side
    1,262.25x = 2,093,622.85
  5. Step 5: Solve for x
    x = 2,093,622.85/1,262.25
  6. Step 6: Final answer
    x = 1,658.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.