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Finding the Fourth Proportional to 738.21, 1,104.08 and 602.13

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Solution

The fourth proportional to 738.21, 1,104.08 and 602.13 is: 900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.21 : 1,104.08 = 602.13 : x
  2. Step 2: Convert to fraction form
    738.21/1,104.08 = 602.13/x
  3. Step 3: Cross multiply
    738.21x = 1,104.08 × 602.13
  4. Step 4: Simplify right side
    738.21x = 664,796.68
  5. Step 5: Solve for x
    x = 664,796.68/738.21
  6. Step 6: Final answer
    x = 900.55

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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.