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Finding the Fourth Proportional to 771.09, 1,156.15 and 277.21

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Solution

The fourth proportional to 771.09, 1,156.15 and 277.21 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.09 : 1,156.15 = 277.21 : x
  2. Step 2: Convert to fraction form
    771.09/1,156.15 = 277.21/x
  3. Step 3: Cross multiply
    771.09x = 1,156.15 × 277.21
  4. Step 4: Simplify right side
    771.09x = 320,496.34
  5. Step 5: Solve for x
    x = 320,496.34/771.09
  6. Step 6: Final answer
    x = 415.64

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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.