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Finding the Fourth Proportional to 1,333.98, 2,000.76 and 512.28

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Solution

The fourth proportional to 1,333.98, 2,000.76 and 512.28 is: 768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.98 : 2,000.76 = 512.28 : x
  2. Step 2: Convert to fraction form
    1,333.98/2,000.76 = 512.28/x
  3. Step 3: Cross multiply
    1,333.98x = 2,000.76 × 512.28
  4. Step 4: Simplify right side
    1,333.98x = 1,024,949.33
  5. Step 5: Solve for x
    x = 1,024,949.33/1,333.98
  6. Step 6: Final answer
    x = 768.34

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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.