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Finding the Fourth Proportional to 1,163.50, 1,747.74 and 730.96

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Solution

The fourth proportional to 1,163.50, 1,747.74 and 730.96 is: 1,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.50 : 1,747.74 = 730.96 : x
  2. Step 2: Convert to fraction form
    1,163.50/1,747.74 = 730.96/x
  3. Step 3: Cross multiply
    1,163.50x = 1,747.74 × 730.96
  4. Step 4: Simplify right side
    1,163.50x = 1,277,519.29
  5. Step 5: Solve for x
    x = 1,277,519.29/1,163.50
  6. Step 6: Final answer
    x = 1,098.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.