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Finding the Fourth Proportional to 1,491.72, 2,238.74 and 711.99

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Solution

The fourth proportional to 1,491.72, 2,238.74 and 711.99 is: 1,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.72 : 2,238.74 = 711.99 : x
  2. Step 2: Convert to fraction form
    1,491.72/2,238.74 = 711.99/x
  3. Step 3: Cross multiply
    1,491.72x = 2,238.74 × 711.99
  4. Step 4: Simplify right side
    1,491.72x = 1,593,959.60
  5. Step 5: Solve for x
    x = 1,593,959.60/1,491.72
  6. Step 6: Final answer
    x = 1,068.54

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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.