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Finding the Fourth Proportional to 737.44, 1,017.76 and 427.04

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Solution

The fourth proportional to 737.44, 1,017.76 and 427.04 is: 589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.44 : 1,017.76 = 427.04 : x
  2. Step 2: Convert to fraction form
    737.44/1,017.76 = 427.04/x
  3. Step 3: Cross multiply
    737.44x = 1,017.76 × 427.04
  4. Step 4: Simplify right side
    737.44x = 434,624.23
  5. Step 5: Solve for x
    x = 434,624.23/737.44
  6. Step 6: Final answer
    x = 589.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.