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Finding the Fourth Proportional to 1,384.74, 1,910.94 and 755.28

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Solution

The fourth proportional to 1,384.74, 1,910.94 and 755.28 is: 1,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.74 : 1,910.94 = 755.28 : x
  2. Step 2: Convert to fraction form
    1,384.74/1,910.94 = 755.28/x
  3. Step 3: Cross multiply
    1,384.74x = 1,910.94 × 755.28
  4. Step 4: Simplify right side
    1,384.74x = 1,443,294.76
  5. Step 5: Solve for x
    x = 1,443,294.76/1,384.74
  6. Step 6: Final answer
    x = 1,042.29

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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.