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Finding the Fourth Proportional to 1,015.46, 1,523.07 and 285.10

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Solution

The fourth proportional to 1,015.46, 1,523.07 and 285.10 is: 427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.46 : 1,523.07 = 285.10 : x
  2. Step 2: Convert to fraction form
    1,015.46/1,523.07 = 285.10/x
  3. Step 3: Cross multiply
    1,015.46x = 1,523.07 × 285.10
  4. Step 4: Simplify right side
    1,015.46x = 434,227.26
  5. Step 5: Solve for x
    x = 434,227.26/1,015.46
  6. Step 6: Final answer
    x = 427.62

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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.