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Finding the Fourth Proportional to 1,422.24, 1,962.57 and 792.66

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Solution

The fourth proportional to 1,422.24, 1,962.57 and 792.66 is: 1,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.24 : 1,962.57 = 792.66 : x
  2. Step 2: Convert to fraction form
    1,422.24/1,962.57 = 792.66/x
  3. Step 3: Cross multiply
    1,422.24x = 1,962.57 × 792.66
  4. Step 4: Simplify right side
    1,422.24x = 1,555,650.74
  5. Step 5: Solve for x
    x = 1,555,650.74/1,422.24
  6. Step 6: Final answer
    x = 1,093.80

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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.