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Finding the Fourth Proportional to 1,086.44, 1,629.30 and 355.86

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Solution

The fourth proportional to 1,086.44, 1,629.30 and 355.86 is: 533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.44 : 1,629.30 = 355.86 : x
  2. Step 2: Convert to fraction form
    1,086.44/1,629.30 = 355.86/x
  3. Step 3: Cross multiply
    1,086.44x = 1,629.30 × 355.86
  4. Step 4: Simplify right side
    1,086.44x = 579,802.70
  5. Step 5: Solve for x
    x = 579,802.70/1,086.44
  6. Step 6: Final answer
    x = 533.67

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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.