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Finding the Fourth Proportional to 894.05, 1,341.07 and 277.74

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Solution

The fourth proportional to 894.05, 1,341.07 and 277.74 is: 416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.05 : 1,341.07 = 277.74 : x
  2. Step 2: Convert to fraction form
    894.05/1,341.07 = 277.74/x
  3. Step 3: Cross multiply
    894.05x = 1,341.07 × 277.74
  4. Step 4: Simplify right side
    894.05x = 372,468.09
  5. Step 5: Solve for x
    x = 372,468.09/894.05
  6. Step 6: Final answer
    x = 416.61

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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.