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Finding the Fourth Proportional to 828.16, 1,142.82 and 474.10

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Solution

The fourth proportional to 828.16, 1,142.82 and 474.10 is: 654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.16 : 1,142.82 = 474.10 : x
  2. Step 2: Convert to fraction form
    828.16/1,142.82 = 474.10/x
  3. Step 3: Cross multiply
    828.16x = 1,142.82 × 474.10
  4. Step 4: Simplify right side
    828.16x = 541,810.96
  5. Step 5: Solve for x
    x = 541,810.96/828.16
  6. Step 6: Final answer
    x = 654.23

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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.