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Finding the Fourth Proportional to 1,086.00, 1,629.16 and 355.43

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Solution

The fourth proportional to 1,086.00, 1,629.16 and 355.43 is: 533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.00 : 1,629.16 = 355.43 : x
  2. Step 2: Convert to fraction form
    1,086.00/1,629.16 = 355.43/x
  3. Step 3: Cross multiply
    1,086.00x = 1,629.16 × 355.43
  4. Step 4: Simplify right side
    1,086.00x = 579,054.63
  5. Step 5: Solve for x
    x = 579,054.63/1,086.00
  6. Step 6: Final answer
    x = 533.20

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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.