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Finding the Fourth Proportional to 967.68, 1,452.96 and 601.44

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Solution

The fourth proportional to 967.68, 1,452.96 and 601.44 is: 903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.68 : 1,452.96 = 601.44 : x
  2. Step 2: Convert to fraction form
    967.68/1,452.96 = 601.44/x
  3. Step 3: Cross multiply
    967.68x = 1,452.96 × 601.44
  4. Step 4: Simplify right side
    967.68x = 873,868.26
  5. Step 5: Solve for x
    x = 873,868.26/967.68
  6. Step 6: Final answer
    x = 903.06

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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.