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Finding the Fourth Proportional to 1,086.33, 1,629.56 and 538.36

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Solution

The fourth proportional to 1,086.33, 1,629.56 and 538.36 is: 807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.33 : 1,629.56 = 538.36 : x
  2. Step 2: Convert to fraction form
    1,086.33/1,629.56 = 538.36/x
  3. Step 3: Cross multiply
    1,086.33x = 1,629.56 × 538.36
  4. Step 4: Simplify right side
    1,086.33x = 877,289.92
  5. Step 5: Solve for x
    x = 877,289.92/1,086.33
  6. Step 6: Final answer
    x = 807.57

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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.