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Finding the Fourth Proportional to 1,636.42, 2,455.85 and 771.34

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Solution

The fourth proportional to 1,636.42, 2,455.85 and 771.34 is: 1,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.42 : 2,455.85 = 771.34 : x
  2. Step 2: Convert to fraction form
    1,636.42/2,455.85 = 771.34/x
  3. Step 3: Cross multiply
    1,636.42x = 2,455.85 × 771.34
  4. Step 4: Simplify right side
    1,636.42x = 1,894,295.34
  5. Step 5: Solve for x
    x = 1,894,295.34/1,636.42
  6. Step 6: Final answer
    x = 1,157.59

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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.