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Finding the Fourth Proportional to 771.14, 1,156.97 and 405.83

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Solution

The fourth proportional to 771.14, 1,156.97 and 405.83 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.14 : 1,156.97 = 405.83 : x
  2. Step 2: Convert to fraction form
    771.14/1,156.97 = 405.83/x
  3. Step 3: Cross multiply
    771.14x = 1,156.97 × 405.83
  4. Step 4: Simplify right side
    771.14x = 469,537.04
  5. Step 5: Solve for x
    x = 469,537.04/771.14
  6. Step 6: Final answer
    x = 608.88

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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.