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Finding the Fourth Proportional to 1,136.82, 1,706.14 and 589.16

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Solution

The fourth proportional to 1,136.82, 1,706.14 and 589.16 is: 884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.82 : 1,706.14 = 589.16 : x
  2. Step 2: Convert to fraction form
    1,136.82/1,706.14 = 589.16/x
  3. Step 3: Cross multiply
    1,136.82x = 1,706.14 × 589.16
  4. Step 4: Simplify right side
    1,136.82x = 1,005,177.97
  5. Step 5: Solve for x
    x = 1,005,177.97/1,136.82
  6. Step 6: Final answer
    x = 884.21

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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.