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Finding the Fourth Proportional to 829, 1,244.58 and 771.94

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Solution

The fourth proportional to 829, 1,244.58 and 771.94 is: 1,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 1,244.58 = 771.94 : x
  2. Step 2: Convert to fraction form
    829/1,244.58 = 771.94/x
  3. Step 3: Cross multiply
    829x = 1,244.58 × 771.94
  4. Step 4: Simplify right side
    829x = 960,741.09
  5. Step 5: Solve for x
    x = 960,741.09/829
  6. Step 6: Final answer
    x = 1,158.92

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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.