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Finding the Fourth Proportional to 762.45, 1,144.02 and 415.37

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Solution

The fourth proportional to 762.45, 1,144.02 and 415.37 is: 623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.45 : 1,144.02 = 415.37 : x
  2. Step 2: Convert to fraction form
    762.45/1,144.02 = 415.37/x
  3. Step 3: Cross multiply
    762.45x = 1,144.02 × 415.37
  4. Step 4: Simplify right side
    762.45x = 475,191.59
  5. Step 5: Solve for x
    x = 475,191.59/762.45
  6. Step 6: Final answer
    x = 623.24

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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.