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Finding the Fourth Proportional to 828.36, 1,142.84 and 474.26

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Solution

The fourth proportional to 828.36, 1,142.84 and 474.26 is: 654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.36 : 1,142.84 = 474.26 : x
  2. Step 2: Convert to fraction form
    828.36/1,142.84 = 474.26/x
  3. Step 3: Cross multiply
    828.36x = 1,142.84 × 474.26
  4. Step 4: Simplify right side
    828.36x = 541,998.77
  5. Step 5: Solve for x
    x = 541,998.77/828.36
  6. Step 6: Final answer
    x = 654.30

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Half scale
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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.