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Finding the Fourth Proportional to 1,550.76, 2,326.26 and 396.50

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Solution

The fourth proportional to 1,550.76, 2,326.26 and 396.50 is: 594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.76 : 2,326.26 = 396.50 : x
  2. Step 2: Convert to fraction form
    1,550.76/2,326.26 = 396.50/x
  3. Step 3: Cross multiply
    1,550.76x = 2,326.26 × 396.50
  4. Step 4: Simplify right side
    1,550.76x = 922,362.09
  5. Step 5: Solve for x
    x = 922,362.09/1,550.76
  6. Step 6: Final answer
    x = 594.78

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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.