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Finding the Fourth Proportional to 1,436.28, 2,153.07 and 511.26

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Solution

The fourth proportional to 1,436.28, 2,153.07 and 511.26 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.28 : 2,153.07 = 511.26 : x
  2. Step 2: Convert to fraction form
    1,436.28/2,153.07 = 511.26/x
  3. Step 3: Cross multiply
    1,436.28x = 2,153.07 × 511.26
  4. Step 4: Simplify right side
    1,436.28x = 1,100,778.57
  5. Step 5: Solve for x
    x = 1,100,778.57/1,436.28
  6. Step 6: Final answer
    x = 766.41

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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.