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Finding the Fourth Proportional to 737.16, 1,104.72 and 428.82

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Solution

The fourth proportional to 737.16, 1,104.72 and 428.82 is: 642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.16 : 1,104.72 = 428.82 : x
  2. Step 2: Convert to fraction form
    737.16/1,104.72 = 428.82/x
  3. Step 3: Cross multiply
    737.16x = 1,104.72 × 428.82
  4. Step 4: Simplify right side
    737.16x = 473,726.03
  5. Step 5: Solve for x
    x = 473,726.03/737.16
  6. Step 6: Final answer
    x = 642.64

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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.