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Finding the Fourth Proportional to 629.94, 943.65 and 514.50

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Solution

The fourth proportional to 629.94, 943.65 and 514.50 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.94 : 943.65 = 514.50 : x
  2. Step 2: Convert to fraction form
    629.94/943.65 = 514.50/x
  3. Step 3: Cross multiply
    629.94x = 943.65 × 514.50
  4. Step 4: Simplify right side
    629.94x = 485,507.93
  5. Step 5: Solve for x
    x = 485,507.93/629.94
  6. Step 6: Final answer
    x = 770.72

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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.