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Finding the Fourth Proportional to 1,386.41, 2,078.74 and 461.73

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Solution

The fourth proportional to 1,386.41, 2,078.74 and 461.73 is: 692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.41 : 2,078.74 = 461.73 : x
  2. Step 2: Convert to fraction form
    1,386.41/2,078.74 = 461.73/x
  3. Step 3: Cross multiply
    1,386.41x = 2,078.74 × 461.73
  4. Step 4: Simplify right side
    1,386.41x = 959,807.38
  5. Step 5: Solve for x
    x = 959,807.38/1,386.41
  6. Step 6: Final answer
    x = 692.30

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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.