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Finding the Fourth Proportional to 826.86, 1,142.04 and 564.42

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Solution

The fourth proportional to 826.86, 1,142.04 and 564.42 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,142.04 = 564.42 : x
  2. Step 2: Convert to fraction form
    826.86/1,142.04 = 564.42/x
  3. Step 3: Cross multiply
    826.86x = 1,142.04 × 564.42
  4. Step 4: Simplify right side
    826.86x = 644,590.22
  5. Step 5: Solve for x
    x = 644,590.22/826.86
  6. Step 6: Final answer
    x = 779.56

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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.