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Finding the Fourth Proportional to 1,059.33, 1,588.83 and 365.97

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Solution

The fourth proportional to 1,059.33, 1,588.83 and 365.97 is: 548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.33 : 1,588.83 = 365.97 : x
  2. Step 2: Convert to fraction form
    1,059.33/1,588.83 = 365.97/x
  3. Step 3: Cross multiply
    1,059.33x = 1,588.83 × 365.97
  4. Step 4: Simplify right side
    1,059.33x = 581,464.12
  5. Step 5: Solve for x
    x = 581,464.12/1,059.33
  6. Step 6: Final answer
    x = 548.90

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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.