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Finding the Fourth Proportional to 771.84, 1,156.46 and 381.32

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Solution

The fourth proportional to 771.84, 1,156.46 and 381.32 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.84 : 1,156.46 = 381.32 : x
  2. Step 2: Convert to fraction form
    771.84/1,156.46 = 381.32/x
  3. Step 3: Cross multiply
    771.84x = 1,156.46 × 381.32
  4. Step 4: Simplify right side
    771.84x = 440,981.33
  5. Step 5: Solve for x
    x = 440,981.33/771.84
  6. Step 6: Final answer
    x = 571.34

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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.