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Finding the Fourth Proportional to 1,238.71, 1,709.34 and 714.73

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Solution

The fourth proportional to 1,238.71, 1,709.34 and 714.73 is: 986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.71 : 1,709.34 = 714.73 : x
  2. Step 2: Convert to fraction form
    1,238.71/1,709.34 = 714.73/x
  3. Step 3: Cross multiply
    1,238.71x = 1,709.34 × 714.73
  4. Step 4: Simplify right side
    1,238.71x = 1,221,716.58
  5. Step 5: Solve for x
    x = 1,221,716.58/1,238.71
  6. Step 6: Final answer
    x = 986.28

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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.