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Finding the Fourth Proportional to 1,457.27, 2,010.85 and 827.86

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Solution

The fourth proportional to 1,457.27, 2,010.85 and 827.86 is: 1,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.27 : 2,010.85 = 827.86 : x
  2. Step 2: Convert to fraction form
    1,457.27/2,010.85 = 827.86/x
  3. Step 3: Cross multiply
    1,457.27x = 2,010.85 × 827.86
  4. Step 4: Simplify right side
    1,457.27x = 1,664,702.28
  5. Step 5: Solve for x
    x = 1,664,702.28/1,457.27
  6. Step 6: Final answer
    x = 1,142.34

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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.