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Finding the Fourth Proportional to 1,333.21, 1,999.74 and 511.42

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Solution

The fourth proportional to 1,333.21, 1,999.74 and 511.42 is: 767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.21 : 1,999.74 = 511.42 : x
  2. Step 2: Convert to fraction form
    1,333.21/1,999.74 = 511.42/x
  3. Step 3: Cross multiply
    1,333.21x = 1,999.74 × 511.42
  4. Step 4: Simplify right side
    1,333.21x = 1,022,707.03
  5. Step 5: Solve for x
    x = 1,022,707.03/1,333.21
  6. Step 6: Final answer
    x = 767.10

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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.