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Finding the Fourth Proportional to 1,234.88, 1,851.35 and 618.26

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Solution

The fourth proportional to 1,234.88, 1,851.35 and 618.26 is: 926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.88 : 1,851.35 = 618.26 : x
  2. Step 2: Convert to fraction form
    1,234.88/1,851.35 = 618.26/x
  3. Step 3: Cross multiply
    1,234.88x = 1,851.35 × 618.26
  4. Step 4: Simplify right side
    1,234.88x = 1,144,612.56
  5. Step 5: Solve for x
    x = 1,144,612.56/1,234.88
  6. Step 6: Final answer
    x = 926.91

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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.