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Finding the Fourth Proportional to 1,086.36, 1,629.64 and 501.56

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Solution

The fourth proportional to 1,086.36, 1,629.64 and 501.56 is: 752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.36 : 1,629.64 = 501.56 : x
  2. Step 2: Convert to fraction form
    1,086.36/1,629.64 = 501.56/x
  3. Step 3: Cross multiply
    1,086.36x = 1,629.64 × 501.56
  4. Step 4: Simplify right side
    1,086.36x = 817,362.24
  5. Step 5: Solve for x
    x = 817,362.24/1,086.36
  6. Step 6: Final answer
    x = 752.39

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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.