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Finding the Fourth Proportional to 828.24, 1,142.87 and 474.13

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Solution

The fourth proportional to 828.24, 1,142.87 and 474.13 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,142.87 = 474.13 : x
  2. Step 2: Convert to fraction form
    828.24/1,142.87 = 474.13/x
  3. Step 3: Cross multiply
    828.24x = 1,142.87 × 474.13
  4. Step 4: Simplify right side
    828.24x = 541,868.01
  5. Step 5: Solve for x
    x = 541,868.01/828.24
  6. Step 6: Final answer
    x = 654.24

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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.