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Finding the Fourth Proportional to 1,136.69, 1,705.27 and 367.13

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Solution

The fourth proportional to 1,136.69, 1,705.27 and 367.13 is: 550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.69 : 1,705.27 = 367.13 : x
  2. Step 2: Convert to fraction form
    1,136.69/1,705.27 = 367.13/x
  3. Step 3: Cross multiply
    1,136.69x = 1,705.27 × 367.13
  4. Step 4: Simplify right side
    1,136.69x = 626,055.78
  5. Step 5: Solve for x
    x = 626,055.78/1,136.69
  6. Step 6: Final answer
    x = 550.77

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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.