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Finding the Fourth Proportional to 645.04, 965.82 and 514.42

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Solution

The fourth proportional to 645.04, 965.82 and 514.42 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.04 : 965.82 = 514.42 : x
  2. Step 2: Convert to fraction form
    645.04/965.82 = 514.42/x
  3. Step 3: Cross multiply
    645.04x = 965.82 × 514.42
  4. Step 4: Simplify right side
    645.04x = 496,837.12
  5. Step 5: Solve for x
    x = 496,837.12/645.04
  6. Step 6: Final answer
    x = 770.24

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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.