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Finding the Fourth Proportional to 759.44, 1,047.74 and 464.78

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Solution

The fourth proportional to 759.44, 1,047.74 and 464.78 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.44 : 1,047.74 = 464.78 : x
  2. Step 2: Convert to fraction form
    759.44/1,047.74 = 464.78/x
  3. Step 3: Cross multiply
    759.44x = 1,047.74 × 464.78
  4. Step 4: Simplify right side
    759.44x = 486,968.60
  5. Step 5: Solve for x
    x = 486,968.60/759.44
  6. Step 6: Final answer
    x = 641.22

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Why These Related Problems?

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