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Finding the Fourth Proportional to 1,135.65, 1,704.56 and 1,073.24

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Solution

The fourth proportional to 1,135.65, 1,704.56 and 1,073.24 is: 1,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.65 : 1,704.56 = 1,073.24 : x
  2. Step 2: Convert to fraction form
    1,135.65/1,704.56 = 1,073.24/x
  3. Step 3: Cross multiply
    1,135.65x = 1,704.56 × 1,073.24
  4. Step 4: Simplify right side
    1,135.65x = 1,829,388.09
  5. Step 5: Solve for x
    x = 1,829,388.09/1,135.65
  6. Step 6: Final answer
    x = 1,610.87

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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.