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Finding the Fourth Proportional to 1,015.75, 1,523.67 and 331.75

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Solution

The fourth proportional to 1,015.75, 1,523.67 and 331.75 is: 497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.75 : 1,523.67 = 331.75 : x
  2. Step 2: Convert to fraction form
    1,015.75/1,523.67 = 331.75/x
  3. Step 3: Cross multiply
    1,015.75x = 1,523.67 × 331.75
  4. Step 4: Simplify right side
    1,015.75x = 505,477.52
  5. Step 5: Solve for x
    x = 505,477.52/1,015.75
  6. Step 6: Final answer
    x = 497.64

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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.