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Finding the Fourth Proportional to 771.02, 1,156.23 and 277.40

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Solution

The fourth proportional to 771.02, 1,156.23 and 277.40 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.02 : 1,156.23 = 277.40 : x
  2. Step 2: Convert to fraction form
    771.02/1,156.23 = 277.40/x
  3. Step 3: Cross multiply
    771.02x = 1,156.23 × 277.40
  4. Step 4: Simplify right side
    771.02x = 320,738.20
  5. Step 5: Solve for x
    x = 320,738.20/771.02
  6. Step 6: Final answer
    x = 415.99

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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.