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Finding the Fourth Proportional to 826.20, 1,140.07 and 472.21

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Solution

The fourth proportional to 826.20, 1,140.07 and 472.21 is: 651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.20 : 1,140.07 = 472.21 : x
  2. Step 2: Convert to fraction form
    826.20/1,140.07 = 472.21/x
  3. Step 3: Cross multiply
    826.20x = 1,140.07 × 472.21
  4. Step 4: Simplify right side
    826.20x = 538,344.39
  5. Step 5: Solve for x
    x = 538,344.39/826.20
  6. Step 6: Final answer
    x = 651.59

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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.