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Finding the Fourth Proportional to 1,136.39, 1,704.74 and 356.43

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Solution

The fourth proportional to 1,136.39, 1,704.74 and 356.43 is: 534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.39 : 1,704.74 = 356.43 : x
  2. Step 2: Convert to fraction form
    1,136.39/1,704.74 = 356.43/x
  3. Step 3: Cross multiply
    1,136.39x = 1,704.74 × 356.43
  4. Step 4: Simplify right side
    1,136.39x = 607,618.70
  5. Step 5: Solve for x
    x = 607,618.70/1,136.39
  6. Step 6: Final answer
    x = 534.69

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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.