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Finding the Fourth Proportional to 744.98, 1,116.38 and 418.68

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Solution

The fourth proportional to 744.98, 1,116.38 and 418.68 is: 627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.98 : 1,116.38 = 418.68 : x
  2. Step 2: Convert to fraction form
    744.98/1,116.38 = 418.68/x
  3. Step 3: Cross multiply
    744.98x = 1,116.38 × 418.68
  4. Step 4: Simplify right side
    744.98x = 467,405.98
  5. Step 5: Solve for x
    x = 467,405.98/744.98
  6. Step 6: Final answer
    x = 627.41

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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.