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Finding the Fourth Proportional to 1,491.42, 2,237.52 and 566.94

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Solution

The fourth proportional to 1,491.42, 2,237.52 and 566.94 is: 850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.42 : 2,237.52 = 566.94 : x
  2. Step 2: Convert to fraction form
    1,491.42/2,237.52 = 566.94/x
  3. Step 3: Cross multiply
    1,491.42x = 2,237.52 × 566.94
  4. Step 4: Simplify right side
    1,491.42x = 1,268,539.59
  5. Step 5: Solve for x
    x = 1,268,539.59/1,491.42
  6. Step 6: Final answer
    x = 850.56

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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.