Home / 1,110.21-1,664.15-416.43

Finding the Fourth Proportional to 1,110.21, 1,664.15 and 416.43

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Solution

The fourth proportional to 1,110.21, 1,664.15 and 416.43 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.21 : 1,664.15 = 416.43 : x
  2. Step 2: Convert to fraction form
    1,110.21/1,664.15 = 416.43/x
  3. Step 3: Cross multiply
    1,110.21x = 1,664.15 × 416.43
  4. Step 4: Simplify right side
    1,110.21x = 692,999.90
  5. Step 5: Solve for x
    x = 692,999.90/1,110.21
  6. Step 6: Final answer
    x = 624.21

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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.