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Finding the Fourth Proportional to 1,165.83, 1,746.26 and 727.22

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Solution

The fourth proportional to 1,165.83, 1,746.26 and 727.22 is: 1,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.83 : 1,746.26 = 727.22 : x
  2. Step 2: Convert to fraction form
    1,165.83/1,746.26 = 727.22/x
  3. Step 3: Cross multiply
    1,165.83x = 1,746.26 × 727.22
  4. Step 4: Simplify right side
    1,165.83x = 1,269,902.83
  5. Step 5: Solve for x
    x = 1,269,902.83/1,165.83
  6. Step 6: Final answer
    x = 1,089.27

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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.