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Finding the Fourth Proportional to 857.45, 1,183.34 and 826.47

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Solution

The fourth proportional to 857.45, 1,183.34 and 826.47 is: 1,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.45 : 1,183.34 = 826.47 : x
  2. Step 2: Convert to fraction form
    857.45/1,183.34 = 826.47/x
  3. Step 3: Cross multiply
    857.45x = 1,183.34 × 826.47
  4. Step 4: Simplify right side
    857.45x = 977,997.08
  5. Step 5: Solve for x
    x = 977,997.08/857.45
  6. Step 6: Final answer
    x = 1,140.58

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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.