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Finding the Fourth Proportional to 851, 1,173.30 and 629.57

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Solution

The fourth proportional to 851, 1,173.30 and 629.57 is: 868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    851 : 1,173.30 = 629.57 : x
  2. Step 2: Convert to fraction form
    851/1,173.30 = 629.57/x
  3. Step 3: Cross multiply
    851x = 1,173.30 × 629.57
  4. Step 4: Simplify right side
    851x = 738,674.48
  5. Step 5: Solve for x
    x = 738,674.48/851
  6. Step 6: Final answer
    x = 868.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.