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Finding the Fourth Proportional to 1,163.04, 1,733.32 and 1,161.24

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Solution

The fourth proportional to 1,163.04, 1,733.32 and 1,161.24 is: 1,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.04 : 1,733.32 = 1,161.24 : x
  2. Step 2: Convert to fraction form
    1,163.04/1,733.32 = 1,161.24/x
  3. Step 3: Cross multiply
    1,163.04x = 1,733.32 × 1,161.24
  4. Step 4: Simplify right side
    1,163.04x = 2,012,800.52
  5. Step 5: Solve for x
    x = 2,012,800.52/1,163.04
  6. Step 6: Final answer
    x = 1,730.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.