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Finding the Fourth Proportional to 759.30, 1,047.86 and 444.76

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Solution

The fourth proportional to 759.30, 1,047.86 and 444.76 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.30 : 1,047.86 = 444.76 : x
  2. Step 2: Convert to fraction form
    759.30/1,047.86 = 444.76/x
  3. Step 3: Cross multiply
    759.30x = 1,047.86 × 444.76
  4. Step 4: Simplify right side
    759.30x = 466,046.21
  5. Step 5: Solve for x
    x = 466,046.21/759.30
  6. Step 6: Final answer
    x = 613.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.