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Finding the Fourth Proportional to 771.06, 1,156.29 and 277.33

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Solution

The fourth proportional to 771.06, 1,156.29 and 277.33 is: 415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.06 : 1,156.29 = 277.33 : x
  2. Step 2: Convert to fraction form
    771.06/1,156.29 = 277.33/x
  3. Step 3: Cross multiply
    771.06x = 1,156.29 × 277.33
  4. Step 4: Simplify right side
    771.06x = 320,673.91
  5. Step 5: Solve for x
    x = 320,673.91/771.06
  6. Step 6: Final answer
    x = 415.89

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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.