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Finding the Fourth Proportional to 738.85, 1,108.37 and 251.77

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Solution

The fourth proportional to 738.85, 1,108.37 and 251.77 is: 377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.85 : 1,108.37 = 251.77 : x
  2. Step 2: Convert to fraction form
    738.85/1,108.37 = 251.77/x
  3. Step 3: Cross multiply
    738.85x = 1,108.37 × 251.77
  4. Step 4: Simplify right side
    738.85x = 279,054.31
  5. Step 5: Solve for x
    x = 279,054.31/738.85
  6. Step 6: Final answer
    x = 377.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.