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Finding the Fourth Proportional to 827.08, 1,141.82 and 512.40

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Solution

The fourth proportional to 827.08, 1,141.82 and 512.40 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.08 : 1,141.82 = 512.40 : x
  2. Step 2: Convert to fraction form
    827.08/1,141.82 = 512.40/x
  3. Step 3: Cross multiply
    827.08x = 1,141.82 × 512.40
  4. Step 4: Simplify right side
    827.08x = 585,068.57
  5. Step 5: Solve for x
    x = 585,068.57/827.08
  6. Step 6: Final answer
    x = 707.39

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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.