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Finding the Fourth Proportional to 759.01, 1,047.34 and 427.41

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Solution

The fourth proportional to 759.01, 1,047.34 and 427.41 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.01 : 1,047.34 = 427.41 : x
  2. Step 2: Convert to fraction form
    759.01/1,047.34 = 427.41/x
  3. Step 3: Cross multiply
    759.01x = 1,047.34 × 427.41
  4. Step 4: Simplify right side
    759.01x = 447,648.05
  5. Step 5: Solve for x
    x = 447,648.05/759.01
  6. Step 6: Final answer
    x = 589.78

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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.