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Finding the Fourth Proportional to 899.21, 1,348.81 and 514.19

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Solution

The fourth proportional to 899.21, 1,348.81 and 514.19 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.21 : 1,348.81 = 514.19 : x
  2. Step 2: Convert to fraction form
    899.21/1,348.81 = 514.19/x
  3. Step 3: Cross multiply
    899.21x = 1,348.81 × 514.19
  4. Step 4: Simplify right side
    899.21x = 693,542.53
  5. Step 5: Solve for x
    x = 693,542.53/899.21
  6. Step 6: Final answer
    x = 771.28

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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.