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Finding the Fourth Proportional to 756.52, 1,136.92 and 448.43

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Solution

The fourth proportional to 756.52, 1,136.92 and 448.43 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.52 : 1,136.92 = 448.43 : x
  2. Step 2: Convert to fraction form
    756.52/1,136.92 = 448.43/x
  3. Step 3: Cross multiply
    756.52x = 1,136.92 × 448.43
  4. Step 4: Simplify right side
    756.52x = 509,829.04
  5. Step 5: Solve for x
    x = 509,829.04/756.52
  6. Step 6: Final answer
    x = 673.91

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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.