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Finding the Fourth Proportional to 1,163.43, 1,605.69 and 721.71

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Solution

The fourth proportional to 1,163.43, 1,605.69 and 721.71 is: 996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.43 : 1,605.69 = 721.71 : x
  2. Step 2: Convert to fraction form
    1,163.43/1,605.69 = 721.71/x
  3. Step 3: Cross multiply
    1,163.43x = 1,605.69 × 721.71
  4. Step 4: Simplify right side
    1,163.43x = 1,158,842.53
  5. Step 5: Solve for x
    x = 1,158,842.53/1,163.43
  6. Step 6: Final answer
    x = 996.06

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Double scale
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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.