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Finding the Fourth Proportional to 1,136.63, 1,705.35 and 367.13

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Solution

The fourth proportional to 1,136.63, 1,705.35 and 367.13 is: 550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.63 : 1,705.35 = 367.13 : x
  2. Step 2: Convert to fraction form
    1,136.63/1,705.35 = 367.13/x
  3. Step 3: Cross multiply
    1,136.63x = 1,705.35 × 367.13
  4. Step 4: Simplify right side
    1,136.63x = 626,076.62
  5. Step 5: Solve for x
    x = 626,076.62/1,136.63
  6. Step 6: Final answer
    x = 550.82

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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.