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Finding the Fourth Proportional to 944.48, 1,302.41 and 613.05

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Solution

The fourth proportional to 944.48, 1,302.41 and 613.05 is: 845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.48 : 1,302.41 = 613.05 : x
  2. Step 2: Convert to fraction form
    944.48/1,302.41 = 613.05/x
  3. Step 3: Cross multiply
    944.48x = 1,302.41 × 613.05
  4. Step 4: Simplify right side
    944.48x = 798,443.98
  5. Step 5: Solve for x
    x = 798,443.98/944.48
  6. Step 6: Final answer
    x = 845.38

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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.