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Finding the Fourth Proportional to 1,204.28, 1,806.40 and 511.40

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Solution

The fourth proportional to 1,204.28, 1,806.40 and 511.40 is: 767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.28 : 1,806.40 = 511.40 : x
  2. Step 2: Convert to fraction form
    1,204.28/1,806.40 = 511.40/x
  3. Step 3: Cross multiply
    1,204.28x = 1,806.40 × 511.40
  4. Step 4: Simplify right side
    1,204.28x = 923,792.96
  5. Step 5: Solve for x
    x = 923,792.96/1,204.28
  6. Step 6: Final answer
    x = 767.09

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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.