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Finding the Fourth Proportional to 1,283.63, 1,771.43 and 759.78

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Solution

The fourth proportional to 1,283.63, 1,771.43 and 759.78 is: 1,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.63 : 1,771.43 = 759.78 : x
  2. Step 2: Convert to fraction form
    1,283.63/1,771.43 = 759.78/x
  3. Step 3: Cross multiply
    1,283.63x = 1,771.43 × 759.78
  4. Step 4: Simplify right side
    1,283.63x = 1,345,893.29
  5. Step 5: Solve for x
    x = 1,345,893.29/1,283.63
  6. Step 6: Final answer
    x = 1,048.51

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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.