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Finding the Fourth Proportional to 1,394.54, 2,091.84 and 470.48

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Solution

The fourth proportional to 1,394.54, 2,091.84 and 470.48 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.54 : 2,091.84 = 470.48 : x
  2. Step 2: Convert to fraction form
    1,394.54/2,091.84 = 470.48/x
  3. Step 3: Cross multiply
    1,394.54x = 2,091.84 × 470.48
  4. Step 4: Simplify right side
    1,394.54x = 984,168.88
  5. Step 5: Solve for x
    x = 984,168.88/1,394.54
  6. Step 6: Final answer
    x = 705.73

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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.