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Finding the Fourth Proportional to 1,136.46, 1,704.06 and 356.22

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Solution

The fourth proportional to 1,136.46, 1,704.06 and 356.22 is: 534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.46 : 1,704.06 = 356.22 : x
  2. Step 2: Convert to fraction form
    1,136.46/1,704.06 = 356.22/x
  3. Step 3: Cross multiply
    1,136.46x = 1,704.06 × 356.22
  4. Step 4: Simplify right side
    1,136.46x = 607,020.25
  5. Step 5: Solve for x
    x = 607,020.25/1,136.46
  6. Step 6: Final answer
    x = 534.13

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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.