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Finding the Fourth Proportional to 826.86, 1,140.84 and 511.97

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Solution

The fourth proportional to 826.86, 1,140.84 and 511.97 is: 706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,140.84 = 511.97 : x
  2. Step 2: Convert to fraction form
    826.86/1,140.84 = 511.97/x
  3. Step 3: Cross multiply
    826.86x = 1,140.84 × 511.97
  4. Step 4: Simplify right side
    826.86x = 584,078.71
  5. Step 5: Solve for x
    x = 584,078.71/826.86
  6. Step 6: Final answer
    x = 706.38

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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.