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Finding the Fourth Proportional to 1,593.73, 2,390.82 and 771.32

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Solution

The fourth proportional to 1,593.73, 2,390.82 and 771.32 is: 1,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.73 : 2,390.82 = 771.32 : x
  2. Step 2: Convert to fraction form
    1,593.73/2,390.82 = 771.32/x
  3. Step 3: Cross multiply
    1,593.73x = 2,390.82 × 771.32
  4. Step 4: Simplify right side
    1,593.73x = 1,844,090.37
  5. Step 5: Solve for x
    x = 1,844,090.37/1,593.73
  6. Step 6: Final answer
    x = 1,157.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.