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Finding the Fourth Proportional to 834.49, 1,150.27 and 657.17

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Solution

The fourth proportional to 834.49, 1,150.27 and 657.17 is: 905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.49 : 1,150.27 = 657.17 : x
  2. Step 2: Convert to fraction form
    834.49/1,150.27 = 657.17/x
  3. Step 3: Cross multiply
    834.49x = 1,150.27 × 657.17
  4. Step 4: Simplify right side
    834.49x = 755,922.94
  5. Step 5: Solve for x
    x = 755,922.94/834.49
  6. Step 6: Final answer
    x = 905.85

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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.