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Finding the Fourth Proportional to 1,136.38, 1,704.58 and 366.88

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Solution

The fourth proportional to 1,136.38, 1,704.58 and 366.88 is: 550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.38 : 1,704.58 = 366.88 : x
  2. Step 2: Convert to fraction form
    1,136.38/1,704.58 = 366.88/x
  3. Step 3: Cross multiply
    1,136.38x = 1,704.58 × 366.88
  4. Step 4: Simplify right side
    1,136.38x = 625,376.31
  5. Step 5: Solve for x
    x = 625,376.31/1,136.38
  6. Step 6: Final answer
    x = 550.32

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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.