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Finding the Fourth Proportional to 1,286.34, 1,774.35 and 762

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Solution

The fourth proportional to 1,286.34, 1,774.35 and 762 is: 1,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.34 : 1,774.35 = 762 : x
  2. Step 2: Convert to fraction form
    1,286.34/1,774.35 = 762/x
  3. Step 3: Cross multiply
    1,286.34x = 1,774.35 × 762
  4. Step 4: Simplify right side
    1,286.34x = 1,352,054.70
  5. Step 5: Solve for x
    x = 1,352,054.70/1,286.34
  6. Step 6: Final answer
    x = 1,051.09

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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.