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Finding the Fourth Proportional to 1,136.33, 1,706.57 and 1,049.57

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Solution

The fourth proportional to 1,136.33, 1,706.57 and 1,049.57 is: 1,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.33 : 1,706.57 = 1,049.57 : x
  2. Step 2: Convert to fraction form
    1,136.33/1,706.57 = 1,049.57/x
  3. Step 3: Cross multiply
    1,136.33x = 1,706.57 × 1,049.57
  4. Step 4: Simplify right side
    1,136.33x = 1,791,164.67
  5. Step 5: Solve for x
    x = 1,791,164.67/1,136.33
  6. Step 6: Final answer
    x = 1,576.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.