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Finding the Fourth Proportional to 805.50, 1,207.34 and 371.76

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Solution

The fourth proportional to 805.50, 1,207.34 and 371.76 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.50 : 1,207.34 = 371.76 : x
  2. Step 2: Convert to fraction form
    805.50/1,207.34 = 371.76/x
  3. Step 3: Cross multiply
    805.50x = 1,207.34 × 371.76
  4. Step 4: Simplify right side
    805.50x = 448,840.72
  5. Step 5: Solve for x
    x = 448,840.72/805.50
  6. Step 6: Final answer
    x = 557.22

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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.