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Finding the Fourth Proportional to 1,389.98, 2,084.85 and 416.30

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Solution

The fourth proportional to 1,389.98, 2,084.85 and 416.30 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.98 : 2,084.85 = 416.30 : x
  2. Step 2: Convert to fraction form
    1,389.98/2,084.85 = 416.30/x
  3. Step 3: Cross multiply
    1,389.98x = 2,084.85 × 416.30
  4. Step 4: Simplify right side
    1,389.98x = 867,923.06
  5. Step 5: Solve for x
    x = 867,923.06/1,389.98
  6. Step 6: Final answer
    x = 624.41

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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.