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Finding the Fourth Proportional to 1,524.84, 2,287.53 and 600.44

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Solution

The fourth proportional to 1,524.84, 2,287.53 and 600.44 is: 900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.84 : 2,287.53 = 600.44 : x
  2. Step 2: Convert to fraction form
    1,524.84/2,287.53 = 600.44/x
  3. Step 3: Cross multiply
    1,524.84x = 2,287.53 × 600.44
  4. Step 4: Simplify right side
    1,524.84x = 1,373,513.08
  5. Step 5: Solve for x
    x = 1,373,513.08/1,524.84
  6. Step 6: Final answer
    x = 900.76

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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.