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Finding the Fourth Proportional to 1,392.14, 1,920.62 and 794.67

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Solution

The fourth proportional to 1,392.14, 1,920.62 and 794.67 is: 1,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.14 : 1,920.62 = 794.67 : x
  2. Step 2: Convert to fraction form
    1,392.14/1,920.62 = 794.67/x
  3. Step 3: Cross multiply
    1,392.14x = 1,920.62 × 794.67
  4. Step 4: Simplify right side
    1,392.14x = 1,526,257.48
  5. Step 5: Solve for x
    x = 1,526,257.48/1,392.14
  6. Step 6: Final answer
    x = 1,096.34

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1.5x scale

Why These Related Problems?

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