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Finding the Fourth Proportional to 826.98, 1,141.26 and 472.89

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Solution

The fourth proportional to 826.98, 1,141.26 and 472.89 is: 652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.98 : 1,141.26 = 472.89 : x
  2. Step 2: Convert to fraction form
    826.98/1,141.26 = 472.89/x
  3. Step 3: Cross multiply
    826.98x = 1,141.26 × 472.89
  4. Step 4: Simplify right side
    826.98x = 539,690.44
  5. Step 5: Solve for x
    x = 539,690.44/826.98
  6. Step 6: Final answer
    x = 652.60

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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.