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Finding the Fourth Proportional to 827.78, 1,141.91 and 512.94

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Solution

The fourth proportional to 827.78, 1,141.91 and 512.94 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.78 : 1,141.91 = 512.94 : x
  2. Step 2: Convert to fraction form
    827.78/1,141.91 = 512.94/x
  3. Step 3: Cross multiply
    827.78x = 1,141.91 × 512.94
  4. Step 4: Simplify right side
    827.78x = 585,733.51
  5. Step 5: Solve for x
    x = 585,733.51/827.78
  6. Step 6: Final answer
    x = 707.60

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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.