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Finding the Fourth Proportional to 737.37, 1,016.01 and 589.41

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Solution

The fourth proportional to 737.37, 1,016.01 and 589.41 is: 812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.37 : 1,016.01 = 589.41 : x
  2. Step 2: Convert to fraction form
    737.37/1,016.01 = 589.41/x
  3. Step 3: Cross multiply
    737.37x = 1,016.01 × 589.41
  4. Step 4: Simplify right side
    737.37x = 598,846.45
  5. Step 5: Solve for x
    x = 598,846.45/737.37
  6. Step 6: Final answer
    x = 812.14

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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.