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Finding the Fourth Proportional to 826.36, 1,138.54 and 563.92

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Solution

The fourth proportional to 826.36, 1,138.54 and 563.92 is: 776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.36 : 1,138.54 = 563.92 : x
  2. Step 2: Convert to fraction form
    826.36/1,138.54 = 563.92/x
  3. Step 3: Cross multiply
    826.36x = 1,138.54 × 563.92
  4. Step 4: Simplify right side
    826.36x = 642,045.48
  5. Step 5: Solve for x
    x = 642,045.48/826.36
  6. Step 6: Final answer
    x = 776.96

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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.