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Finding the Fourth Proportional to 827.72, 1,142.76 and 496.27

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Solution

The fourth proportional to 827.72, 1,142.76 and 496.27 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,142.76 = 496.27 : x
  2. Step 2: Convert to fraction form
    827.72/1,142.76 = 496.27/x
  3. Step 3: Cross multiply
    827.72x = 1,142.76 × 496.27
  4. Step 4: Simplify right side
    827.72x = 567,117.51
  5. Step 5: Solve for x
    x = 567,117.51/827.72
  6. Step 6: Final answer
    x = 685.16

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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.