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Finding the Fourth Proportional to 1,086.85, 1,629.11 and 470.85

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Solution

The fourth proportional to 1,086.85, 1,629.11 and 470.85 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.85 : 1,629.11 = 470.85 : x
  2. Step 2: Convert to fraction form
    1,086.85/1,629.11 = 470.85/x
  3. Step 3: Cross multiply
    1,086.85x = 1,629.11 × 470.85
  4. Step 4: Simplify right side
    1,086.85x = 767,066.44
  5. Step 5: Solve for x
    x = 767,066.44/1,086.85
  6. Step 6: Final answer
    x = 705.77

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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.