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Finding the Fourth Proportional to 1,334.42, 2,000.30 and 512.06

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Solution

The fourth proportional to 1,334.42, 2,000.30 and 512.06 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.42 : 2,000.30 = 512.06 : x
  2. Step 2: Convert to fraction form
    1,334.42/2,000.30 = 512.06/x
  3. Step 3: Cross multiply
    1,334.42x = 2,000.30 × 512.06
  4. Step 4: Simplify right side
    1,334.42x = 1,024,273.62
  5. Step 5: Solve for x
    x = 1,024,273.62/1,334.42
  6. Step 6: Final answer
    x = 767.58

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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.