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Finding the Fourth Proportional to 1,238.97, 1,710.93 and 989.49

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Solution

The fourth proportional to 1,238.97, 1,710.93 and 989.49 is: 1,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.97 : 1,710.93 = 989.49 : x
  2. Step 2: Convert to fraction form
    1,238.97/1,710.93 = 989.49/x
  3. Step 3: Cross multiply
    1,238.97x = 1,710.93 × 989.49
  4. Step 4: Simplify right side
    1,238.97x = 1,692,948.13
  5. Step 5: Solve for x
    x = 1,692,948.13/1,238.97
  6. Step 6: Final answer
    x = 1,366.42

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