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Finding the Fourth Proportional to 827.11, 1,141.50 and 512.58

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Solution

The fourth proportional to 827.11, 1,141.50 and 512.58 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.11 : 1,141.50 = 512.58 : x
  2. Step 2: Convert to fraction form
    827.11/1,141.50 = 512.58/x
  3. Step 3: Cross multiply
    827.11x = 1,141.50 × 512.58
  4. Step 4: Simplify right side
    827.11x = 585,110.07
  5. Step 5: Solve for x
    x = 585,110.07/827.11
  6. Step 6: Final answer
    x = 707.42

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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.