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Finding the Fourth Proportional to 737.75, 1,018.23 and 427.25

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Solution

The fourth proportional to 737.75, 1,018.23 and 427.25 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.75 : 1,018.23 = 427.25 : x
  2. Step 2: Convert to fraction form
    737.75/1,018.23 = 427.25/x
  3. Step 3: Cross multiply
    737.75x = 1,018.23 × 427.25
  4. Step 4: Simplify right side
    737.75x = 435,038.77
  5. Step 5: Solve for x
    x = 435,038.77/737.75
  6. Step 6: Final answer
    x = 589.68

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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.