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Finding the Fourth Proportional to 1,333.30, 1,999.20 and 511.60

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Solution

The fourth proportional to 1,333.30, 1,999.20 and 511.60 is: 767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.30 : 1,999.20 = 511.60 : x
  2. Step 2: Convert to fraction form
    1,333.30/1,999.20 = 511.60/x
  3. Step 3: Cross multiply
    1,333.30x = 1,999.20 × 511.60
  4. Step 4: Simplify right side
    1,333.30x = 1,022,790.72
  5. Step 5: Solve for x
    x = 1,022,790.72/1,333.30
  6. Step 6: Final answer
    x = 767.11

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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.