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Finding the Fourth Proportional to 1,193.25, 1,791.09 and 846.98

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Solution

The fourth proportional to 1,193.25, 1,791.09 and 846.98 is: 1,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.25 : 1,791.09 = 846.98 : x
  2. Step 2: Convert to fraction form
    1,193.25/1,791.09 = 846.98/x
  3. Step 3: Cross multiply
    1,193.25x = 1,791.09 × 846.98
  4. Step 4: Simplify right side
    1,193.25x = 1,517,017.41
  5. Step 5: Solve for x
    x = 1,517,017.41/1,193.25
  6. Step 6: Final answer
    x = 1,271.33

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1.5x scale

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.