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Finding the Fourth Proportional to 1,462.73, 2,194.02 and 731.75

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Solution

The fourth proportional to 1,462.73, 2,194.02 and 731.75 is: 1,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.73 : 2,194.02 = 731.75 : x
  2. Step 2: Convert to fraction form
    1,462.73/2,194.02 = 731.75/x
  3. Step 3: Cross multiply
    1,462.73x = 2,194.02 × 731.75
  4. Step 4: Simplify right side
    1,462.73x = 1,605,463.16
  5. Step 5: Solve for x
    x = 1,605,463.16/1,462.73
  6. Step 6: Final answer
    x = 1,097.58

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1.5x scale

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.