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Finding the Fourth Proportional to 1,136.30, 1,705.28 and 726.44

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Solution

The fourth proportional to 1,136.30, 1,705.28 and 726.44 is: 1,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.30 : 1,705.28 = 726.44 : x
  2. Step 2: Convert to fraction form
    1,136.30/1,705.28 = 726.44/x
  3. Step 3: Cross multiply
    1,136.30x = 1,705.28 × 726.44
  4. Step 4: Simplify right side
    1,136.30x = 1,238,771.44
  5. Step 5: Solve for x
    x = 1,238,771.44/1,136.30
  6. Step 6: Final answer
    x = 1,090.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.