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Finding the Fourth Proportional to 1,384.61, 1,910.76 and 755.13

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Solution

The fourth proportional to 1,384.61, 1,910.76 and 755.13 is: 1,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.61 : 1,910.76 = 755.13 : x
  2. Step 2: Convert to fraction form
    1,384.61/1,910.76 = 755.13/x
  3. Step 3: Cross multiply
    1,384.61x = 1,910.76 × 755.13
  4. Step 4: Simplify right side
    1,384.61x = 1,442,872.20
  5. Step 5: Solve for x
    x = 1,442,872.20/1,384.61
  6. Step 6: Final answer
    x = 1,042.08

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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.