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Finding the Fourth Proportional to 759, 1,047.24 and 427.36

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Solution

The fourth proportional to 759, 1,047.24 and 427.36 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    759 : 1,047.24 = 427.36 : x
  2. Step 2: Convert to fraction form
    759/1,047.24 = 427.36/x
  3. Step 3: Cross multiply
    759x = 1,047.24 × 427.36
  4. Step 4: Simplify right side
    759x = 447,548.49
  5. Step 5: Solve for x
    x = 447,548.49/759
  6. Step 6: Final answer
    x = 589.66

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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.