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Finding the Fourth Proportional to 759.83, 1,139.44 and 297.55

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Solution

The fourth proportional to 759.83, 1,139.44 and 297.55 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.83 : 1,139.44 = 297.55 : x
  2. Step 2: Convert to fraction form
    759.83/1,139.44 = 297.55/x
  3. Step 3: Cross multiply
    759.83x = 1,139.44 × 297.55
  4. Step 4: Simplify right side
    759.83x = 339,040.37
  5. Step 5: Solve for x
    x = 339,040.37/759.83
  6. Step 6: Final answer
    x = 446.21

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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.