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Finding the Fourth Proportional to 1,171.34, 1,755.38 and 593.54

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Solution

The fourth proportional to 1,171.34, 1,755.38 and 593.54 is: 889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.34 : 1,755.38 = 593.54 : x
  2. Step 2: Convert to fraction form
    1,171.34/1,755.38 = 593.54/x
  3. Step 3: Cross multiply
    1,171.34x = 1,755.38 × 593.54
  4. Step 4: Simplify right side
    1,171.34x = 1,041,888.25
  5. Step 5: Solve for x
    x = 1,041,888.25/1,171.34
  6. Step 6: Final answer
    x = 889.48

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