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Finding the Fourth Proportional to 828.82, 1,143.73 and 455.81

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Solution

The fourth proportional to 828.82, 1,143.73 and 455.81 is: 629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.82 : 1,143.73 = 455.81 : x
  2. Step 2: Convert to fraction form
    828.82/1,143.73 = 455.81/x
  3. Step 3: Cross multiply
    828.82x = 1,143.73 × 455.81
  4. Step 4: Simplify right side
    828.82x = 521,325.29
  5. Step 5: Solve for x
    x = 521,325.29/828.82
  6. Step 6: Final answer
    x = 629.00

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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.