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Finding the Fourth Proportional to 1,086.06, 1,629.36 and 355.71

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Solution

The fourth proportional to 1,086.06, 1,629.36 and 355.71 is: 533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.06 : 1,629.36 = 355.71 : x
  2. Step 2: Convert to fraction form
    1,086.06/1,629.36 = 355.71/x
  3. Step 3: Cross multiply
    1,086.06x = 1,629.36 × 355.71
  4. Step 4: Simplify right side
    1,086.06x = 579,579.65
  5. Step 5: Solve for x
    x = 579,579.65/1,086.06
  6. Step 6: Final answer
    x = 533.65

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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.