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Finding the Fourth Proportional to 1,294.56, 1,937.76 and 805.44

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Solution

The fourth proportional to 1,294.56, 1,937.76 and 805.44 is: 1,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.56 : 1,937.76 = 805.44 : x
  2. Step 2: Convert to fraction form
    1,294.56/1,937.76 = 805.44/x
  3. Step 3: Cross multiply
    1,294.56x = 1,937.76 × 805.44
  4. Step 4: Simplify right side
    1,294.56x = 1,560,749.41
  5. Step 5: Solve for x
    x = 1,560,749.41/1,294.56
  6. Step 6: Final answer
    x = 1,205.62

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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.