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Finding the Fourth Proportional to 1,444.26, 1,992.85 and 846.79

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Solution

The fourth proportional to 1,444.26, 1,992.85 and 846.79 is: 1,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.26 : 1,992.85 = 846.79 : x
  2. Step 2: Convert to fraction form
    1,444.26/1,992.85 = 846.79/x
  3. Step 3: Cross multiply
    1,444.26x = 1,992.85 × 846.79
  4. Step 4: Simplify right side
    1,444.26x = 1,687,523.12
  5. Step 5: Solve for x
    x = 1,687,523.12/1,444.26
  6. Step 6: Final answer
    x = 1,168.43

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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.