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Finding the Fourth Proportional to 1,137.06, 1,704.38 and 588.69

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Solution

The fourth proportional to 1,137.06, 1,704.38 and 588.69 is: 882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.06 : 1,704.38 = 588.69 : x
  2. Step 2: Convert to fraction form
    1,137.06/1,704.38 = 588.69/x
  3. Step 3: Cross multiply
    1,137.06x = 1,704.38 × 588.69
  4. Step 4: Simplify right side
    1,137.06x = 1,003,348.52
  5. Step 5: Solve for x
    x = 1,003,348.52/1,137.06
  6. Step 6: Final answer
    x = 882.41

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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.