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Finding the Fourth Proportional to 828.32, 1,143.29 and 474.42

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Solution

The fourth proportional to 828.32, 1,143.29 and 474.42 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.32 : 1,143.29 = 474.42 : x
  2. Step 2: Convert to fraction form
    828.32/1,143.29 = 474.42/x
  3. Step 3: Cross multiply
    828.32x = 1,143.29 × 474.42
  4. Step 4: Simplify right side
    828.32x = 542,397.27
  5. Step 5: Solve for x
    x = 542,397.27/828.32
  6. Step 6: Final answer
    x = 654.82

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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.