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Finding the Fourth Proportional to 1,301.66, 1,790.84 and 1,136.26

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Solution

The fourth proportional to 1,301.66, 1,790.84 and 1,136.26 is: 1,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.66 : 1,790.84 = 1,136.26 : x
  2. Step 2: Convert to fraction form
    1,301.66/1,790.84 = 1,136.26/x
  3. Step 3: Cross multiply
    1,301.66x = 1,790.84 × 1,136.26
  4. Step 4: Simplify right side
    1,301.66x = 2,034,845.22
  5. Step 5: Solve for x
    x = 2,034,845.22/1,301.66
  6. Step 6: Final answer
    x = 1,563.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.