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Finding the Fourth Proportional to 1,192.88, 1,778.74 and 1,113.44

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Solution

The fourth proportional to 1,192.88, 1,778.74 and 1,113.44 is: 1,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.88 : 1,778.74 = 1,113.44 : x
  2. Step 2: Convert to fraction form
    1,192.88/1,778.74 = 1,113.44/x
  3. Step 3: Cross multiply
    1,192.88x = 1,778.74 × 1,113.44
  4. Step 4: Simplify right side
    1,192.88x = 1,980,520.27
  5. Step 5: Solve for x
    x = 1,980,520.27/1,192.88
  6. Step 6: Final answer
    x = 1,660.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.