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Finding the Fourth Proportional to 1,256.75, 1,734.32 and 704.75

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Solution

The fourth proportional to 1,256.75, 1,734.32 and 704.75 is: 972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.75 : 1,734.32 = 704.75 : x
  2. Step 2: Convert to fraction form
    1,256.75/1,734.32 = 704.75/x
  3. Step 3: Cross multiply
    1,256.75x = 1,734.32 × 704.75
  4. Step 4: Simplify right side
    1,256.75x = 1,222,262.02
  5. Step 5: Solve for x
    x = 1,222,262.02/1,256.75
  6. Step 6: Final answer
    x = 972.56

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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.