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Finding the Fourth Proportional to 827.64, 1,142.28 and 513

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Solution

The fourth proportional to 827.64, 1,142.28 and 513 is: 708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.64 : 1,142.28 = 513 : x
  2. Step 2: Convert to fraction form
    827.64/1,142.28 = 513/x
  3. Step 3: Cross multiply
    827.64x = 1,142.28 × 513
  4. Step 4: Simplify right side
    827.64x = 585,989.64
  5. Step 5: Solve for x
    x = 585,989.64/827.64
  6. Step 6: Final answer
    x = 708.02

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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.