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Finding the Fourth Proportional to 857.98, 1,183.44 and 595.81

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Solution

The fourth proportional to 857.98, 1,183.44 and 595.81 is: 821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.98 : 1,183.44 = 595.81 : x
  2. Step 2: Convert to fraction form
    857.98/1,183.44 = 595.81/x
  3. Step 3: Cross multiply
    857.98x = 1,183.44 × 595.81
  4. Step 4: Simplify right side
    857.98x = 705,105.39
  5. Step 5: Solve for x
    x = 705,105.39/857.98
  6. Step 6: Final answer
    x = 821.82

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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.