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Finding the Fourth Proportional to 1,490.92, 2,057.46 and 827.83

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Solution

The fourth proportional to 1,490.92, 2,057.46 and 827.83 is: 1,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.92 : 2,057.46 = 827.83 : x
  2. Step 2: Convert to fraction form
    1,490.92/2,057.46 = 827.83/x
  3. Step 3: Cross multiply
    1,490.92x = 2,057.46 × 827.83
  4. Step 4: Simplify right side
    1,490.92x = 1,703,227.11
  5. Step 5: Solve for x
    x = 1,703,227.11/1,490.92
  6. Step 6: Final answer
    x = 1,142.40

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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.