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Finding the Fourth Proportional to 758.39, 1,137.69 and 744.82

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Solution

The fourth proportional to 758.39, 1,137.69 and 744.82 is: 1,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.39 : 1,137.69 = 744.82 : x
  2. Step 2: Convert to fraction form
    758.39/1,137.69 = 744.82/x
  3. Step 3: Cross multiply
    758.39x = 1,137.69 × 744.82
  4. Step 4: Simplify right side
    758.39x = 847,370.54
  5. Step 5: Solve for x
    x = 847,370.54/758.39
  6. Step 6: Final answer
    x = 1,117.34

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