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Finding the Fourth Proportional to 826.45, 1,140.81 and 564.82

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Solution

The fourth proportional to 826.45, 1,140.81 and 564.82 is: 779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.45 : 1,140.81 = 564.82 : x
  2. Step 2: Convert to fraction form
    826.45/1,140.81 = 564.82/x
  3. Step 3: Cross multiply
    826.45x = 1,140.81 × 564.82
  4. Step 4: Simplify right side
    826.45x = 644,352.30
  5. Step 5: Solve for x
    x = 644,352.30/826.45
  6. Step 6: Final answer
    x = 779.66

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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.