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Finding the Fourth Proportional to 1,238.09, 1,857.20 and 874.50

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Solution

The fourth proportional to 1,238.09, 1,857.20 and 874.50 is: 1,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.09 : 1,857.20 = 874.50 : x
  2. Step 2: Convert to fraction form
    1,238.09/1,857.20 = 874.50/x
  3. Step 3: Cross multiply
    1,238.09x = 1,857.20 × 874.50
  4. Step 4: Simplify right side
    1,238.09x = 1,624,121.40
  5. Step 5: Solve for x
    x = 1,624,121.40/1,238.09
  6. Step 6: Final answer
    x = 1,311.80

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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.