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Finding the Fourth Proportional to 1,544.30, 2,316.38 and 620.26

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Solution

The fourth proportional to 1,544.30, 2,316.38 and 620.26 is: 930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.30 : 2,316.38 = 620.26 : x
  2. Step 2: Convert to fraction form
    1,544.30/2,316.38 = 620.26/x
  3. Step 3: Cross multiply
    1,544.30x = 2,316.38 × 620.26
  4. Step 4: Simplify right side
    1,544.30x = 1,436,757.86
  5. Step 5: Solve for x
    x = 1,436,757.86/1,544.30
  6. Step 6: Final answer
    x = 930.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.