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Finding the Fourth Proportional to 514.03, 770.99 and 129.25

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Solution

The fourth proportional to 514.03, 770.99 and 129.25 is: 193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.03 : 770.99 = 129.25 : x
  2. Step 2: Convert to fraction form
    514.03/770.99 = 129.25/x
  3. Step 3: Cross multiply
    514.03x = 770.99 × 129.25
  4. Step 4: Simplify right side
    514.03x = 99,649.81
  5. Step 5: Solve for x
    x = 99,649.81/514.03
  6. Step 6: Final answer
    x = 193.86

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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.