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Finding the Fourth Proportional to 826.86, 1,141.29 and 477.78

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Solution

The fourth proportional to 826.86, 1,141.29 and 477.78 is: 659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,141.29 = 477.78 : x
  2. Step 2: Convert to fraction form
    826.86/1,141.29 = 477.78/x
  3. Step 3: Cross multiply
    826.86x = 1,141.29 × 477.78
  4. Step 4: Simplify right side
    826.86x = 545,285.54
  5. Step 5: Solve for x
    x = 545,285.54/826.86
  6. Step 6: Final answer
    x = 659.47

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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.