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Finding the Fourth Proportional to 741.45, 1,015.78 and 713.75

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Solution

The fourth proportional to 741.45, 1,015.78 and 713.75 is: 977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.45 : 1,015.78 = 713.75 : x
  2. Step 2: Convert to fraction form
    741.45/1,015.78 = 713.75/x
  3. Step 3: Cross multiply
    741.45x = 1,015.78 × 713.75
  4. Step 4: Simplify right side
    741.45x = 725,012.98
  5. Step 5: Solve for x
    x = 725,012.98/741.45
  6. Step 6: Final answer
    x = 977.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.