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Finding the Fourth Proportional to 1,015.37, 1,522.82 and 285.02

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Solution

The fourth proportional to 1,015.37, 1,522.82 and 285.02 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.37 : 1,522.82 = 285.02 : x
  2. Step 2: Convert to fraction form
    1,015.37/1,522.82 = 285.02/x
  3. Step 3: Cross multiply
    1,015.37x = 1,522.82 × 285.02
  4. Step 4: Simplify right side
    1,015.37x = 434,034.16
  5. Step 5: Solve for x
    x = 434,034.16/1,015.37
  6. Step 6: Final answer
    x = 427.46

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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.