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Finding the Fourth Proportional to 836.82, 1,153.49 and 657.05

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Solution

The fourth proportional to 836.82, 1,153.49 and 657.05 is: 905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,153.49 = 657.05 : x
  2. Step 2: Convert to fraction form
    836.82/1,153.49 = 657.05/x
  3. Step 3: Cross multiply
    836.82x = 1,153.49 × 657.05
  4. Step 4: Simplify right side
    836.82x = 757,891.55
  5. Step 5: Solve for x
    x = 757,891.55/836.82
  6. Step 6: Final answer
    x = 905.68

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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.