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Finding the Fourth Proportional to 758.94, 1,138.38 and 713.85

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Solution

The fourth proportional to 758.94, 1,138.38 and 713.85 is: 1,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.94 : 1,138.38 = 713.85 : x
  2. Step 2: Convert to fraction form
    758.94/1,138.38 = 713.85/x
  3. Step 3: Cross multiply
    758.94x = 1,138.38 × 713.85
  4. Step 4: Simplify right side
    758.94x = 812,632.56
  5. Step 5: Solve for x
    x = 812,632.56/758.94
  6. Step 6: Final answer
    x = 1,070.75

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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.