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Finding the Fourth Proportional to 1,384.65, 1,910.21 and 911.94

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Solution

The fourth proportional to 1,384.65, 1,910.21 and 911.94 is: 1,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.65 : 1,910.21 = 911.94 : x
  2. Step 2: Convert to fraction form
    1,384.65/1,910.21 = 911.94/x
  3. Step 3: Cross multiply
    1,384.65x = 1,910.21 × 911.94
  4. Step 4: Simplify right side
    1,384.65x = 1,741,996.91
  5. Step 5: Solve for x
    x = 1,741,996.91/1,384.65
  6. Step 6: Final answer
    x = 1,258.08

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Why These Related Problems?

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