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Finding the Fourth Proportional to 762.12, 1,143.60 and 415.44

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Solution

The fourth proportional to 762.12, 1,143.60 and 415.44 is: 623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.12 : 1,143.60 = 415.44 : x
  2. Step 2: Convert to fraction form
    762.12/1,143.60 = 415.44/x
  3. Step 3: Cross multiply
    762.12x = 1,143.60 × 415.44
  4. Step 4: Simplify right side
    762.12x = 475,097.18
  5. Step 5: Solve for x
    x = 475,097.18/762.12
  6. Step 6: Final answer
    x = 623.39

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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.