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Finding the Fourth Proportional to 1,384.08, 2,076.12 and 410.12

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Solution

The fourth proportional to 1,384.08, 2,076.12 and 410.12 is: 615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.08 : 2,076.12 = 410.12 : x
  2. Step 2: Convert to fraction form
    1,384.08/2,076.12 = 410.12/x
  3. Step 3: Cross multiply
    1,384.08x = 2,076.12 × 410.12
  4. Step 4: Simplify right side
    1,384.08x = 851,447.95
  5. Step 5: Solve for x
    x = 851,447.95/1,384.08
  6. Step 6: Final answer
    x = 615.17

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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.