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Finding the Fourth Proportional to 1,259.32, 1,738.22 and 735.64

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Solution

The fourth proportional to 1,259.32, 1,738.22 and 735.64 is: 1,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.32 : 1,738.22 = 735.64 : x
  2. Step 2: Convert to fraction form
    1,259.32/1,738.22 = 735.64/x
  3. Step 3: Cross multiply
    1,259.32x = 1,738.22 × 735.64
  4. Step 4: Simplify right side
    1,259.32x = 1,278,704.16
  5. Step 5: Solve for x
    x = 1,278,704.16/1,259.32
  6. Step 6: Final answer
    x = 1,015.39

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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.