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Finding the Fourth Proportional to 1,259.96, 1,738.62 and 735.92

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Solution

The fourth proportional to 1,259.96, 1,738.62 and 735.92 is: 1,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.96 : 1,738.62 = 735.92 : x
  2. Step 2: Convert to fraction form
    1,259.96/1,738.62 = 735.92/x
  3. Step 3: Cross multiply
    1,259.96x = 1,738.62 × 735.92
  4. Step 4: Simplify right side
    1,259.96x = 1,279,485.23
  5. Step 5: Solve for x
    x = 1,279,485.23/1,259.96
  6. Step 6: Final answer
    x = 1,015.50

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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.