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Finding the Fourth Proportional to 1,418.98, 2,128.68 and 445.18

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Solution

The fourth proportional to 1,418.98, 2,128.68 and 445.18 is: 667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.98 : 2,128.68 = 445.18 : x
  2. Step 2: Convert to fraction form
    1,418.98/2,128.68 = 445.18/x
  3. Step 3: Cross multiply
    1,418.98x = 2,128.68 × 445.18
  4. Step 4: Simplify right side
    1,418.98x = 947,645.76
  5. Step 5: Solve for x
    x = 947,645.76/1,418.98
  6. Step 6: Final answer
    x = 667.84

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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.