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Finding the Fourth Proportional to 1,238.67, 1,708.47 and 766.53

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Solution

The fourth proportional to 1,238.67, 1,708.47 and 766.53 is: 1,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.67 : 1,708.47 = 766.53 : x
  2. Step 2: Convert to fraction form
    1,238.67/1,708.47 = 766.53/x
  3. Step 3: Cross multiply
    1,238.67x = 1,708.47 × 766.53
  4. Step 4: Simplify right side
    1,238.67x = 1,309,593.51
  5. Step 5: Solve for x
    x = 1,309,593.51/1,238.67
  6. Step 6: Final answer
    x = 1,057.26

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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.