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Finding the Fourth Proportional to 1,490.43, 2,056.91 and 827.45

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Solution

The fourth proportional to 1,490.43, 2,056.91 and 827.45 is: 1,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.43 : 2,056.91 = 827.45 : x
  2. Step 2: Convert to fraction form
    1,490.43/2,056.91 = 827.45/x
  3. Step 3: Cross multiply
    1,490.43x = 2,056.91 × 827.45
  4. Step 4: Simplify right side
    1,490.43x = 1,701,975.76
  5. Step 5: Solve for x
    x = 1,701,975.76/1,490.43
  6. Step 6: Final answer
    x = 1,141.94

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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.