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Finding the Fourth Proportional to 838.44, 1,254.96 and 618.98

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Solution

The fourth proportional to 838.44, 1,254.96 and 618.98 is: 926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.44 : 1,254.96 = 618.98 : x
  2. Step 2: Convert to fraction form
    838.44/1,254.96 = 618.98/x
  3. Step 3: Cross multiply
    838.44x = 1,254.96 × 618.98
  4. Step 4: Simplify right side
    838.44x = 776,788.87
  5. Step 5: Solve for x
    x = 776,788.87/838.44
  6. Step 6: Final answer
    x = 926.47

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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.