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Finding the Fourth Proportional to 958.77, 1,435.36 and 713.07

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Solution

The fourth proportional to 958.77, 1,435.36 and 713.07 is: 1,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.77 : 1,435.36 = 713.07 : x
  2. Step 2: Convert to fraction form
    958.77/1,435.36 = 713.07/x
  3. Step 3: Cross multiply
    958.77x = 1,435.36 × 713.07
  4. Step 4: Simplify right side
    958.77x = 1,023,504.98
  5. Step 5: Solve for x
    x = 1,023,504.98/958.77
  6. Step 6: Final answer
    x = 1,067.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.