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Finding the Fourth Proportional to 826.18, 1,139.97 and 564.10

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Solution

The fourth proportional to 826.18, 1,139.97 and 564.10 is: 778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.18 : 1,139.97 = 564.10 : x
  2. Step 2: Convert to fraction form
    826.18/1,139.97 = 564.10/x
  3. Step 3: Cross multiply
    826.18x = 1,139.97 × 564.10
  4. Step 4: Simplify right side
    826.18x = 643,057.08
  5. Step 5: Solve for x
    x = 643,057.08/826.18
  6. Step 6: Final answer
    x = 778.35

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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.