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Finding the Fourth Proportional to 828.71, 1,143.02 and 514.16

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Solution

The fourth proportional to 828.71, 1,143.02 and 514.16 is: 709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.71 : 1,143.02 = 514.16 : x
  2. Step 2: Convert to fraction form
    828.71/1,143.02 = 514.16/x
  3. Step 3: Cross multiply
    828.71x = 1,143.02 × 514.16
  4. Step 4: Simplify right side
    828.71x = 587,689.45
  5. Step 5: Solve for x
    x = 587,689.45/828.71
  6. Step 6: Final answer
    x = 709.16

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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.