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Finding the Fourth Proportional to 1,384.23, 2,076.13 and 459.80

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Solution

The fourth proportional to 1,384.23, 2,076.13 and 459.80 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.23 : 2,076.13 = 459.80 : x
  2. Step 2: Convert to fraction form
    1,384.23/2,076.13 = 459.80/x
  3. Step 3: Cross multiply
    1,384.23x = 2,076.13 × 459.80
  4. Step 4: Simplify right side
    1,384.23x = 954,604.57
  5. Step 5: Solve for x
    x = 954,604.57/1,384.23
  6. Step 6: Final answer
    x = 689.63

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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.