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Finding the Fourth Proportional to 1,086.00, 1,629.24 and 345.84

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Solution

The fourth proportional to 1,086.00, 1,629.24 and 345.84 is: 518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.00 : 1,629.24 = 345.84 : x
  2. Step 2: Convert to fraction form
    1,086.00/1,629.24 = 345.84/x
  3. Step 3: Cross multiply
    1,086.00x = 1,629.24 × 345.84
  4. Step 4: Simplify right side
    1,086.00x = 563,446.49
  5. Step 5: Solve for x
    x = 563,446.49/1,086.00
  6. Step 6: Final answer
    x = 518.83

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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.