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Finding the Fourth Proportional to 1,224.95, 1,837.70 and 676.85

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Solution

The fourth proportional to 1,224.95, 1,837.70 and 676.85 is: 1,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.95 : 1,837.70 = 676.85 : x
  2. Step 2: Convert to fraction form
    1,224.95/1,837.70 = 676.85/x
  3. Step 3: Cross multiply
    1,224.95x = 1,837.70 × 676.85
  4. Step 4: Simplify right side
    1,224.95x = 1,243,834.67
  5. Step 5: Solve for x
    x = 1,243,834.67/1,224.95
  6. Step 6: Final answer
    x = 1,015.42

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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.