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Finding the Fourth Proportional to 1,225.41, 1,838.70 and 532.41

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Solution

The fourth proportional to 1,225.41, 1,838.70 and 532.41 is: 798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.41 : 1,838.70 = 532.41 : x
  2. Step 2: Convert to fraction form
    1,225.41/1,838.70 = 532.41/x
  3. Step 3: Cross multiply
    1,225.41x = 1,838.70 × 532.41
  4. Step 4: Simplify right side
    1,225.41x = 978,942.27
  5. Step 5: Solve for x
    x = 978,942.27/1,225.41
  6. Step 6: Final answer
    x = 798.87

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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.