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Finding the Fourth Proportional to 826.40, 1,139.52 and 564.56

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Solution

The fourth proportional to 826.40, 1,139.52 and 564.56 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.40 : 1,139.52 = 564.56 : x
  2. Step 2: Convert to fraction form
    826.40/1,139.52 = 564.56/x
  3. Step 3: Cross multiply
    826.40x = 1,139.52 × 564.56
  4. Step 4: Simplify right side
    826.40x = 643,327.41
  5. Step 5: Solve for x
    x = 643,327.41/826.40
  6. Step 6: Final answer
    x = 778.47

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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.