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Finding the Fourth Proportional to 1,522.75, 2,282.33 and 701.09

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Solution

The fourth proportional to 1,522.75, 2,282.33 and 701.09 is: 1,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.75 : 2,282.33 = 701.09 : x
  2. Step 2: Convert to fraction form
    1,522.75/2,282.33 = 701.09/x
  3. Step 3: Cross multiply
    1,522.75x = 2,282.33 × 701.09
  4. Step 4: Simplify right side
    1,522.75x = 1,600,115.23
  5. Step 5: Solve for x
    x = 1,600,115.23/1,522.75
  6. Step 6: Final answer
    x = 1,050.81

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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.