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Finding the Fourth Proportional to 828.64, 1,143.49 and 455.59

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Solution

The fourth proportional to 828.64, 1,143.49 and 455.59 is: 628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,143.49 = 455.59 : x
  2. Step 2: Convert to fraction form
    828.64/1,143.49 = 455.59/x
  3. Step 3: Cross multiply
    828.64x = 1,143.49 × 455.59
  4. Step 4: Simplify right side
    828.64x = 520,960.89
  5. Step 5: Solve for x
    x = 520,960.89/828.64
  6. Step 6: Final answer
    x = 628.69

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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.