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Finding the Fourth Proportional to 1,059.98, 1,588.24 and 366.27

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Solution

The fourth proportional to 1,059.98, 1,588.24 and 366.27 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.98 : 1,588.24 = 366.27 : x
  2. Step 2: Convert to fraction form
    1,059.98/1,588.24 = 366.27/x
  3. Step 3: Cross multiply
    1,059.98x = 1,588.24 × 366.27
  4. Step 4: Simplify right side
    1,059.98x = 581,724.66
  5. Step 5: Solve for x
    x = 581,724.66/1,059.98
  6. Step 6: Final answer
    x = 548.81

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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.