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Finding the Fourth Proportional to 1,392.21, 1,921.13 and 794.70

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Solution

The fourth proportional to 1,392.21, 1,921.13 and 794.70 is: 1,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.21 : 1,921.13 = 794.70 : x
  2. Step 2: Convert to fraction form
    1,392.21/1,921.13 = 794.70/x
  3. Step 3: Cross multiply
    1,392.21x = 1,921.13 × 794.70
  4. Step 4: Simplify right side
    1,392.21x = 1,526,726.40
  5. Step 5: Solve for x
    x = 1,526,726.40/1,392.21
  6. Step 6: Final answer
    x = 1,096.62

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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.