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Finding the Fourth Proportional to 1,179.05, 1,766.61 and 593.46

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Solution

The fourth proportional to 1,179.05, 1,766.61 and 593.46 is: 889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.05 : 1,766.61 = 593.46 : x
  2. Step 2: Convert to fraction form
    1,179.05/1,766.61 = 593.46/x
  3. Step 3: Cross multiply
    1,179.05x = 1,766.61 × 593.46
  4. Step 4: Simplify right side
    1,179.05x = 1,048,412.37
  5. Step 5: Solve for x
    x = 1,048,412.37/1,179.05
  6. Step 6: Final answer
    x = 889.20

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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.