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Finding the Fourth Proportional to 1,436.27, 2,154.74 and 462.33

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Solution

The fourth proportional to 1,436.27, 2,154.74 and 462.33 is: 693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.27 : 2,154.74 = 462.33 : x
  2. Step 2: Convert to fraction form
    1,436.27/2,154.74 = 462.33/x
  3. Step 3: Cross multiply
    1,436.27x = 2,154.74 × 462.33
  4. Step 4: Simplify right side
    1,436.27x = 996,198.63
  5. Step 5: Solve for x
    x = 996,198.63/1,436.27
  6. Step 6: Final answer
    x = 693.60

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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.