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Finding the Fourth Proportional to 1,333.80, 2,001.02 and 512.06

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Solution

The fourth proportional to 1,333.80, 2,001.02 and 512.06 is: 768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.80 : 2,001.02 = 512.06 : x
  2. Step 2: Convert to fraction form
    1,333.80/2,001.02 = 512.06/x
  3. Step 3: Cross multiply
    1,333.80x = 2,001.02 × 512.06
  4. Step 4: Simplify right side
    1,333.80x = 1,024,642.30
  5. Step 5: Solve for x
    x = 1,024,642.30/1,333.80
  6. Step 6: Final answer
    x = 768.21

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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.