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Finding the Fourth Proportional to 762.67, 1,144.09 and 416.50

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Solution

The fourth proportional to 762.67, 1,144.09 and 416.50 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.67 : 1,144.09 = 416.50 : x
  2. Step 2: Convert to fraction form
    762.67/1,144.09 = 416.50/x
  3. Step 3: Cross multiply
    762.67x = 1,144.09 × 416.50
  4. Step 4: Simplify right side
    762.67x = 476,511.40
  5. Step 5: Solve for x
    x = 476,511.40/762.67
  6. Step 6: Final answer
    x = 624.80

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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.