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Finding the Fourth Proportional to 1,238.70, 1,709.54 and 741.31

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Solution

The fourth proportional to 1,238.70, 1,709.54 and 741.31 is: 1,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.70 : 1,709.54 = 741.31 : x
  2. Step 2: Convert to fraction form
    1,238.70/1,709.54 = 741.31/x
  3. Step 3: Cross multiply
    1,238.70x = 1,709.54 × 741.31
  4. Step 4: Simplify right side
    1,238.70x = 1,267,299.10
  5. Step 5: Solve for x
    x = 1,267,299.10/1,238.70
  6. Step 6: Final answer
    x = 1,023.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.