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Finding the Fourth Proportional to 1,174.25, 1,760.36 and 626.83

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Solution

The fourth proportional to 1,174.25, 1,760.36 and 626.83 is: 939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.25 : 1,760.36 = 626.83 : x
  2. Step 2: Convert to fraction form
    1,174.25/1,760.36 = 626.83/x
  3. Step 3: Cross multiply
    1,174.25x = 1,760.36 × 626.83
  4. Step 4: Simplify right side
    1,174.25x = 1,103,438.92
  5. Step 5: Solve for x
    x = 1,103,438.92/1,174.25
  6. Step 6: Final answer
    x = 939.69

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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.