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Finding the Fourth Proportional to 1,292.45, 1,783.56 and 768.47

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Solution

The fourth proportional to 1,292.45, 1,783.56 and 768.47 is: 1,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.45 : 1,783.56 = 768.47 : x
  2. Step 2: Convert to fraction form
    1,292.45/1,783.56 = 768.47/x
  3. Step 3: Cross multiply
    1,292.45x = 1,783.56 × 768.47
  4. Step 4: Simplify right side
    1,292.45x = 1,370,603.44
  5. Step 5: Solve for x
    x = 1,370,603.44/1,292.45
  6. Step 6: Final answer
    x = 1,060.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.