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Finding the Fourth Proportional to 1,334.32, 1,999.08 and 814.05

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Solution

The fourth proportional to 1,334.32, 1,999.08 and 814.05 is: 1,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.32 : 1,999.08 = 814.05 : x
  2. Step 2: Convert to fraction form
    1,334.32/1,999.08 = 814.05/x
  3. Step 3: Cross multiply
    1,334.32x = 1,999.08 × 814.05
  4. Step 4: Simplify right side
    1,334.32x = 1,627,351.07
  5. Step 5: Solve for x
    x = 1,627,351.07/1,334.32
  6. Step 6: Final answer
    x = 1,219.61

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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.