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Finding the Fourth Proportional to 1,366.98, 2,049.99 and 846.19

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Solution

The fourth proportional to 1,366.98, 2,049.99 and 846.19 is: 1,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.98 : 2,049.99 = 846.19 : x
  2. Step 2: Convert to fraction form
    1,366.98/2,049.99 = 846.19/x
  3. Step 3: Cross multiply
    1,366.98x = 2,049.99 × 846.19
  4. Step 4: Simplify right side
    1,366.98x = 1,734,670.79
  5. Step 5: Solve for x
    x = 1,734,670.79/1,366.98
  6. Step 6: Final answer
    x = 1,268.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.