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Finding the Fourth Proportional to 1,238.45, 1,709.04 and 714.47

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Solution

The fourth proportional to 1,238.45, 1,709.04 and 714.47 is: 985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.45 : 1,709.04 = 714.47 : x
  2. Step 2: Convert to fraction form
    1,238.45/1,709.04 = 714.47/x
  3. Step 3: Cross multiply
    1,238.45x = 1,709.04 × 714.47
  4. Step 4: Simplify right side
    1,238.45x = 1,221,049.26
  5. Step 5: Solve for x
    x = 1,221,049.26/1,238.45
  6. Step 6: Final answer
    x = 985.95

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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.