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Finding the Fourth Proportional to 1,436.70, 2,154.78 and 512.31

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Solution

The fourth proportional to 1,436.70, 2,154.78 and 512.31 is: 768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.70 : 2,154.78 = 512.31 : x
  2. Step 2: Convert to fraction form
    1,436.70/2,154.78 = 512.31/x
  3. Step 3: Cross multiply
    1,436.70x = 2,154.78 × 512.31
  4. Step 4: Simplify right side
    1,436.70x = 1,103,915.34
  5. Step 5: Solve for x
    x = 1,103,915.34/1,436.70
  6. Step 6: Final answer
    x = 768.37

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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.