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Finding the Fourth Proportional to 1,384.89, 2,078.09 and 460.73

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Solution

The fourth proportional to 1,384.89, 2,078.09 and 460.73 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.89 : 2,078.09 = 460.73 : x
  2. Step 2: Convert to fraction form
    1,384.89/2,078.09 = 460.73/x
  3. Step 3: Cross multiply
    1,384.89x = 2,078.09 × 460.73
  4. Step 4: Simplify right side
    1,384.89x = 957,438.41
  5. Step 5: Solve for x
    x = 957,438.41/1,384.89
  6. Step 6: Final answer
    x = 691.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.