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Finding the Fourth Proportional to 1,256.76, 1,734.44 and 791

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Solution

The fourth proportional to 1,256.76, 1,734.44 and 791 is: 1,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.76 : 1,734.44 = 791 : x
  2. Step 2: Convert to fraction form
    1,256.76/1,734.44 = 791/x
  3. Step 3: Cross multiply
    1,256.76x = 1,734.44 × 791
  4. Step 4: Simplify right side
    1,256.76x = 1,371,942.04
  5. Step 5: Solve for x
    x = 1,371,942.04/1,256.76
  6. Step 6: Final answer
    x = 1,091.65

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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.