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Finding the Fourth Proportional to 1,390.27, 2,085.75 and 416.37

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Solution

The fourth proportional to 1,390.27, 2,085.75 and 416.37 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.27 : 2,085.75 = 416.37 : x
  2. Step 2: Convert to fraction form
    1,390.27/2,085.75 = 416.37/x
  3. Step 3: Cross multiply
    1,390.27x = 2,085.75 × 416.37
  4. Step 4: Simplify right side
    1,390.27x = 868,443.73
  5. Step 5: Solve for x
    x = 868,443.73/1,390.27
  6. Step 6: Final answer
    x = 624.66

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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.