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Finding the Fourth Proportional to 1,136.72, 1,704.51 and 588.74

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Solution

The fourth proportional to 1,136.72, 1,704.51 and 588.74 is: 882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.72 : 1,704.51 = 588.74 : x
  2. Step 2: Convert to fraction form
    1,136.72/1,704.51 = 588.74/x
  3. Step 3: Cross multiply
    1,136.72x = 1,704.51 × 588.74
  4. Step 4: Simplify right side
    1,136.72x = 1,003,513.22
  5. Step 5: Solve for x
    x = 1,003,513.22/1,136.72
  6. Step 6: Final answer
    x = 882.81

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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.