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Finding the Fourth Proportional to 1,292.34, 1,783.98 and 768.54

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Solution

The fourth proportional to 1,292.34, 1,783.98 and 768.54 is: 1,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.34 : 1,783.98 = 768.54 : x
  2. Step 2: Convert to fraction form
    1,292.34/1,783.98 = 768.54/x
  3. Step 3: Cross multiply
    1,292.34x = 1,783.98 × 768.54
  4. Step 4: Simplify right side
    1,292.34x = 1,371,059.99
  5. Step 5: Solve for x
    x = 1,371,059.99/1,292.34
  6. Step 6: Final answer
    x = 1,060.91

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Why These Related Problems?

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