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Finding the Fourth Proportional to 828.92, 1,143.69 and 514.04

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Solution

The fourth proportional to 828.92, 1,143.69 and 514.04 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.92 : 1,143.69 = 514.04 : x
  2. Step 2: Convert to fraction form
    828.92/1,143.69 = 514.04/x
  3. Step 3: Cross multiply
    828.92x = 1,143.69 × 514.04
  4. Step 4: Simplify right side
    828.92x = 587,894.76
  5. Step 5: Solve for x
    x = 587,894.76/828.92
  6. Step 6: Final answer
    x = 709.23

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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.