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Finding the Fourth Proportional to 1,524.28, 2,286.42 and 873.63

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Solution

The fourth proportional to 1,524.28, 2,286.42 and 873.63 is: 1,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.28 : 2,286.42 = 873.63 : x
  2. Step 2: Convert to fraction form
    1,524.28/2,286.42 = 873.63/x
  3. Step 3: Cross multiply
    1,524.28x = 2,286.42 × 873.63
  4. Step 4: Simplify right side
    1,524.28x = 1,997,485.10
  5. Step 5: Solve for x
    x = 1,997,485.10/1,524.28
  6. Step 6: Final answer
    x = 1,310.45

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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.