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Finding the Fourth Proportional to 1,238.90, 1,858.34 and 752.09

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Solution

The fourth proportional to 1,238.90, 1,858.34 and 752.09 is: 1,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.90 : 1,858.34 = 752.09 : x
  2. Step 2: Convert to fraction form
    1,238.90/1,858.34 = 752.09/x
  3. Step 3: Cross multiply
    1,238.90x = 1,858.34 × 752.09
  4. Step 4: Simplify right side
    1,238.90x = 1,397,631.52
  5. Step 5: Solve for x
    x = 1,397,631.52/1,238.90
  6. Step 6: Final answer
    x = 1,128.13

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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.