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Finding the Fourth Proportional to 894.14, 1,340.78 and 374

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Solution

The fourth proportional to 894.14, 1,340.78 and 374 is: 560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.14 : 1,340.78 = 374 : x
  2. Step 2: Convert to fraction form
    894.14/1,340.78 = 374/x
  3. Step 3: Cross multiply
    894.14x = 1,340.78 × 374
  4. Step 4: Simplify right side
    894.14x = 501,451.72
  5. Step 5: Solve for x
    x = 501,451.72/894.14
  6. Step 6: Final answer
    x = 560.82

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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.