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Finding the Fourth Proportional to 1,384.94, 1,911.16 and 755.44

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Solution

The fourth proportional to 1,384.94, 1,911.16 and 755.44 is: 1,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.94 : 1,911.16 = 755.44 : x
  2. Step 2: Convert to fraction form
    1,384.94/1,911.16 = 755.44/x
  3. Step 3: Cross multiply
    1,384.94x = 1,911.16 × 755.44
  4. Step 4: Simplify right side
    1,384.94x = 1,443,766.71
  5. Step 5: Solve for x
    x = 1,443,766.71/1,384.94
  6. Step 6: Final answer
    x = 1,042.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.