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Finding the Fourth Proportional to 1,086.62, 1,629.21 and 355.94

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Solution

The fourth proportional to 1,086.62, 1,629.21 and 355.94 is: 533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.62 : 1,629.21 = 355.94 : x
  2. Step 2: Convert to fraction form
    1,086.62/1,629.21 = 355.94/x
  3. Step 3: Cross multiply
    1,086.62x = 1,629.21 × 355.94
  4. Step 4: Simplify right side
    1,086.62x = 579,901.01
  5. Step 5: Solve for x
    x = 579,901.01/1,086.62
  6. Step 6: Final answer
    x = 533.67

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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.