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Finding the Fourth Proportional to 1,283.94, 1,771.70 and 786.72

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Solution

The fourth proportional to 1,283.94, 1,771.70 and 786.72 is: 1,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.94 : 1,771.70 = 786.72 : x
  2. Step 2: Convert to fraction form
    1,283.94/1,771.70 = 786.72/x
  3. Step 3: Cross multiply
    1,283.94x = 1,771.70 × 786.72
  4. Step 4: Simplify right side
    1,283.94x = 1,393,822.97
  5. Step 5: Solve for x
    x = 1,393,822.97/1,283.94
  6. Step 6: Final answer
    x = 1,085.59

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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.