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Finding the Fourth Proportional to 1,344.53, 1,855.31 and 846.99

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Solution

The fourth proportional to 1,344.53, 1,855.31 and 846.99 is: 1,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.53 : 1,855.31 = 846.99 : x
  2. Step 2: Convert to fraction form
    1,344.53/1,855.31 = 846.99/x
  3. Step 3: Cross multiply
    1,344.53x = 1,855.31 × 846.99
  4. Step 4: Simplify right side
    1,344.53x = 1,571,424.78
  5. Step 5: Solve for x
    x = 1,571,424.78/1,344.53
  6. Step 6: Final answer
    x = 1,168.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.