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Finding the Fourth Proportional to 828.84, 1,143.75 and 455.75

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Solution

The fourth proportional to 828.84, 1,143.75 and 455.75 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,143.75 = 455.75 : x
  2. Step 2: Convert to fraction form
    828.84/1,143.75 = 455.75/x
  3. Step 3: Cross multiply
    828.84x = 1,143.75 × 455.75
  4. Step 4: Simplify right side
    828.84x = 521,264.06
  5. Step 5: Solve for x
    x = 521,264.06/828.84
  6. Step 6: Final answer
    x = 628.91

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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.