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Finding the Fourth Proportional to 838.87, 1,257.72 and 370.11

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Solution

The fourth proportional to 838.87, 1,257.72 and 370.11 is: 554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.87 : 1,257.72 = 370.11 : x
  2. Step 2: Convert to fraction form
    838.87/1,257.72 = 370.11/x
  3. Step 3: Cross multiply
    838.87x = 1,257.72 × 370.11
  4. Step 4: Simplify right side
    838.87x = 465,494.75
  5. Step 5: Solve for x
    x = 465,494.75/838.87
  6. Step 6: Final answer
    x = 554.91

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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.