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Finding the Fourth Proportional to 805.52, 1,207.32 and 371.75

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Solution

The fourth proportional to 805.52, 1,207.32 and 371.75 is: 557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.52 : 1,207.32 = 371.75 : x
  2. Step 2: Convert to fraction form
    805.52/1,207.32 = 371.75/x
  3. Step 3: Cross multiply
    805.52x = 1,207.32 × 371.75
  4. Step 4: Simplify right side
    805.52x = 448,821.21
  5. Step 5: Solve for x
    x = 448,821.21/805.52
  6. Step 6: Final answer
    x = 557.18

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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.