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Finding the Fourth Proportional to 1,238.46, 1,709.26 and 766.51

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Solution

The fourth proportional to 1,238.46, 1,709.26 and 766.51 is: 1,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.46 : 1,709.26 = 766.51 : x
  2. Step 2: Convert to fraction form
    1,238.46/1,709.26 = 766.51/x
  3. Step 3: Cross multiply
    1,238.46x = 1,709.26 × 766.51
  4. Step 4: Simplify right side
    1,238.46x = 1,310,164.73
  5. Step 5: Solve for x
    x = 1,310,164.73/1,238.46
  6. Step 6: Final answer
    x = 1,057.89

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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.