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Finding the Fourth Proportional to 1,086.48, 1,629.99 and 437.67

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Solution

The fourth proportional to 1,086.48, 1,629.99 and 437.67 is: 656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.48 : 1,629.99 = 437.67 : x
  2. Step 2: Convert to fraction form
    1,086.48/1,629.99 = 437.67/x
  3. Step 3: Cross multiply
    1,086.48x = 1,629.99 × 437.67
  4. Step 4: Simplify right side
    1,086.48x = 713,397.72
  5. Step 5: Solve for x
    x = 713,397.72/1,086.48
  6. Step 6: Final answer
    x = 656.61

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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.