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Finding the Fourth Proportional to 826.26, 1,140.48 and 564.72

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Solution

The fourth proportional to 826.26, 1,140.48 and 564.72 is: 779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.26 : 1,140.48 = 564.72 : x
  2. Step 2: Convert to fraction form
    826.26/1,140.48 = 564.72/x
  3. Step 3: Cross multiply
    826.26x = 1,140.48 × 564.72
  4. Step 4: Simplify right side
    826.26x = 644,051.87
  5. Step 5: Solve for x
    x = 644,051.87/826.26
  6. Step 6: Final answer
    x = 779.48

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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.