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Finding the Fourth Proportional to 1,390.54, 2,085.20 and 416.41

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Solution

The fourth proportional to 1,390.54, 2,085.20 and 416.41 is: 624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.54 : 2,085.20 = 416.41 : x
  2. Step 2: Convert to fraction form
    1,390.54/2,085.20 = 416.41/x
  3. Step 3: Cross multiply
    1,390.54x = 2,085.20 × 416.41
  4. Step 4: Simplify right side
    1,390.54x = 868,296.05
  5. Step 5: Solve for x
    x = 868,296.05/1,390.54
  6. Step 6: Final answer
    x = 624.43

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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.