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Finding the Fourth Proportional to 826.08, 1,139.42 and 563.64

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Solution

The fourth proportional to 826.08, 1,139.42 and 563.64 is: 777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.08 : 1,139.42 = 563.64 : x
  2. Step 2: Convert to fraction form
    826.08/1,139.42 = 563.64/x
  3. Step 3: Cross multiply
    826.08x = 1,139.42 × 563.64
  4. Step 4: Simplify right side
    826.08x = 642,222.69
  5. Step 5: Solve for x
    x = 642,222.69/826.08
  6. Step 6: Final answer
    x = 777.43

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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.