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Finding the Fourth Proportional to 1,613.31, 2,418.44 and 792.27

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Solution

The fourth proportional to 1,613.31, 2,418.44 and 792.27 is: 1,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.31 : 2,418.44 = 792.27 : x
  2. Step 2: Convert to fraction form
    1,613.31/2,418.44 = 792.27/x
  3. Step 3: Cross multiply
    1,613.31x = 2,418.44 × 792.27
  4. Step 4: Simplify right side
    1,613.31x = 1,916,057.46
  5. Step 5: Solve for x
    x = 1,916,057.46/1,613.31
  6. Step 6: Final answer
    x = 1,187.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.