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Finding the Fourth Proportional to 1,136.76, 1,705.74 and 406.84

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Solution

The fourth proportional to 1,136.76, 1,705.74 and 406.84 is: 610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.76 : 1,705.74 = 406.84 : x
  2. Step 2: Convert to fraction form
    1,136.76/1,705.74 = 406.84/x
  3. Step 3: Cross multiply
    1,136.76x = 1,705.74 × 406.84
  4. Step 4: Simplify right side
    1,136.76x = 693,963.26
  5. Step 5: Solve for x
    x = 693,963.26/1,136.76
  6. Step 6: Final answer
    x = 610.47

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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.