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Finding the Fourth Proportional to 1,256.80, 1,734.41 and 697.26

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Solution

The fourth proportional to 1,256.80, 1,734.41 and 697.26 is: 962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.80 : 1,734.41 = 697.26 : x
  2. Step 2: Convert to fraction form
    1,256.80/1,734.41 = 697.26/x
  3. Step 3: Cross multiply
    1,256.80x = 1,734.41 × 697.26
  4. Step 4: Simplify right side
    1,256.80x = 1,209,334.72
  5. Step 5: Solve for x
    x = 1,209,334.72/1,256.80
  6. Step 6: Final answer
    x = 962.23

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