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Finding the Fourth Proportional to 1,384.91, 2,077.36 and 411

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Solution

The fourth proportional to 1,384.91, 2,077.36 and 411 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.91 : 2,077.36 = 411 : x
  2. Step 2: Convert to fraction form
    1,384.91/2,077.36 = 411/x
  3. Step 3: Cross multiply
    1,384.91x = 2,077.36 × 411
  4. Step 4: Simplify right side
    1,384.91x = 853,795.47
  5. Step 5: Solve for x
    x = 853,795.47/1,384.91
  6. Step 6: Final answer
    x = 616.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.