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Finding the Fourth Proportional to 899.75, 1,348.48 and 431.44

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Solution

The fourth proportional to 899.75, 1,348.48 and 431.44 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.75 : 1,348.48 = 431.44 : x
  2. Step 2: Convert to fraction form
    899.75/1,348.48 = 431.44/x
  3. Step 3: Cross multiply
    899.75x = 1,348.48 × 431.44
  4. Step 4: Simplify right side
    899.75x = 581,788.21
  5. Step 5: Solve for x
    x = 581,788.21/899.75
  6. Step 6: Final answer
    x = 646.61

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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.