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Finding the Fourth Proportional to 1,015.99, 1,523.96 and 285.55

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Solution

The fourth proportional to 1,015.99, 1,523.96 and 285.55 is: 428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.99 : 1,523.96 = 285.55 : x
  2. Step 2: Convert to fraction form
    1,015.99/1,523.96 = 285.55/x
  3. Step 3: Cross multiply
    1,015.99x = 1,523.96 × 285.55
  4. Step 4: Simplify right side
    1,015.99x = 435,168.50
  5. Step 5: Solve for x
    x = 435,168.50/1,015.99
  6. Step 6: Final answer
    x = 428.32

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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.