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Finding the Fourth Proportional to 785.31, 1,176.98 and 420.27

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Solution

The fourth proportional to 785.31, 1,176.98 and 420.27 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.31 : 1,176.98 = 420.27 : x
  2. Step 2: Convert to fraction form
    785.31/1,176.98 = 420.27/x
  3. Step 3: Cross multiply
    785.31x = 1,176.98 × 420.27
  4. Step 4: Simplify right side
    785.31x = 494,647.28
  5. Step 5: Solve for x
    x = 494,647.28/785.31
  6. Step 6: Final answer
    x = 629.88

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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.