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Finding the Fourth Proportional to 826.86, 1,141.48 and 477.48

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Solution

The fourth proportional to 826.86, 1,141.48 and 477.48 is: 659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,141.48 = 477.48 : x
  2. Step 2: Convert to fraction form
    826.86/1,141.48 = 477.48/x
  3. Step 3: Cross multiply
    826.86x = 1,141.48 × 477.48
  4. Step 4: Simplify right side
    826.86x = 545,033.87
  5. Step 5: Solve for x
    x = 545,033.87/826.86
  6. Step 6: Final answer
    x = 659.16

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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.