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Finding the Fourth Proportional to 1,257.34, 1,735.94 and 809.41

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Solution

The fourth proportional to 1,257.34, 1,735.94 and 809.41 is: 1,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.34 : 1,735.94 = 809.41 : x
  2. Step 2: Convert to fraction form
    1,257.34/1,735.94 = 809.41/x
  3. Step 3: Cross multiply
    1,257.34x = 1,735.94 × 809.41
  4. Step 4: Simplify right side
    1,257.34x = 1,405,087.20
  5. Step 5: Solve for x
    x = 1,405,087.20/1,257.34
  6. Step 6: Final answer
    x = 1,117.51

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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.