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Finding the Fourth Proportional to 1,786.45, 2,679.80 and 470.23

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Solution

The fourth proportional to 1,786.45, 2,679.80 and 470.23 is: 705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.45 : 2,679.80 = 470.23 : x
  2. Step 2: Convert to fraction form
    1,786.45/2,679.80 = 470.23/x
  3. Step 3: Cross multiply
    1,786.45x = 2,679.80 × 470.23
  4. Step 4: Simplify right side
    1,786.45x = 1,260,129.98
  5. Step 5: Solve for x
    x = 1,260,129.98/1,786.45
  6. Step 6: Final answer
    x = 705.38

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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.