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Finding the Fourth Proportional to 759.56, 1,139.62 and 297.56

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Solution

The fourth proportional to 759.56, 1,139.62 and 297.56 is: 446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.56 : 1,139.62 = 297.56 : x
  2. Step 2: Convert to fraction form
    759.56/1,139.62 = 297.56/x
  3. Step 3: Cross multiply
    759.56x = 1,139.62 × 297.56
  4. Step 4: Simplify right side
    759.56x = 339,105.33
  5. Step 5: Solve for x
    x = 339,105.33/759.56
  6. Step 6: Final answer
    x = 446.45

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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.