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Finding the Fourth Proportional to 1,512.82, 2,270.44 and 782.60

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Solution

The fourth proportional to 1,512.82, 2,270.44 and 782.60 is: 1,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.82 : 2,270.44 = 782.60 : x
  2. Step 2: Convert to fraction form
    1,512.82/2,270.44 = 782.60/x
  3. Step 3: Cross multiply
    1,512.82x = 2,270.44 × 782.60
  4. Step 4: Simplify right side
    1,512.82x = 1,776,846.34
  5. Step 5: Solve for x
    x = 1,776,846.34/1,512.82
  6. Step 6: Final answer
    x = 1,174.53

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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.