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Finding the Fourth Proportional to 1,136.82, 1,705.37 and 406.47

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Solution

The fourth proportional to 1,136.82, 1,705.37 and 406.47 is: 609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.82 : 1,705.37 = 406.47 : x
  2. Step 2: Convert to fraction form
    1,136.82/1,705.37 = 406.47/x
  3. Step 3: Cross multiply
    1,136.82x = 1,705.37 × 406.47
  4. Step 4: Simplify right side
    1,136.82x = 693,179.71
  5. Step 5: Solve for x
    x = 693,179.71/1,136.82
  6. Step 6: Final answer
    x = 609.75

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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.