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Finding the Fourth Proportional to 1,286.03, 1,928.23 and 709.31

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Solution

The fourth proportional to 1,286.03, 1,928.23 and 709.31 is: 1,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.03 : 1,928.23 = 709.31 : x
  2. Step 2: Convert to fraction form
    1,286.03/1,928.23 = 709.31/x
  3. Step 3: Cross multiply
    1,286.03x = 1,928.23 × 709.31
  4. Step 4: Simplify right side
    1,286.03x = 1,367,712.82
  5. Step 5: Solve for x
    x = 1,367,712.82/1,286.03
  6. Step 6: Final answer
    x = 1,063.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.