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Finding the Fourth Proportional to 828.19, 1,142.71 and 496.77

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Solution

The fourth proportional to 828.19, 1,142.71 and 496.77 is: 685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.19 : 1,142.71 = 496.77 : x
  2. Step 2: Convert to fraction form
    828.19/1,142.71 = 496.77/x
  3. Step 3: Cross multiply
    828.19x = 1,142.71 × 496.77
  4. Step 4: Simplify right side
    828.19x = 567,664.05
  5. Step 5: Solve for x
    x = 567,664.05/828.19
  6. Step 6: Final answer
    x = 685.43

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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.