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Finding the Fourth Proportional to 1,484.79, 2,049.11 and 855.42

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Solution

The fourth proportional to 1,484.79, 2,049.11 and 855.42 is: 1,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.79 : 2,049.11 = 855.42 : x
  2. Step 2: Convert to fraction form
    1,484.79/2,049.11 = 855.42/x
  3. Step 3: Cross multiply
    1,484.79x = 2,049.11 × 855.42
  4. Step 4: Simplify right side
    1,484.79x = 1,752,849.68
  5. Step 5: Solve for x
    x = 1,752,849.68/1,484.79
  6. Step 6: Final answer
    x = 1,180.54

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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.