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Finding the Fourth Proportional to 1,333.04, 2,000.38 and 511.40

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Solution

The fourth proportional to 1,333.04, 2,000.38 and 511.40 is: 767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.04 : 2,000.38 = 511.40 : x
  2. Step 2: Convert to fraction form
    1,333.04/2,000.38 = 511.40/x
  3. Step 3: Cross multiply
    1,333.04x = 2,000.38 × 511.40
  4. Step 4: Simplify right side
    1,333.04x = 1,022,994.33
  5. Step 5: Solve for x
    x = 1,022,994.33/1,333.04
  6. Step 6: Final answer
    x = 767.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.