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Finding the Fourth Proportional to 771.88, 1,157.11 and 284.56

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Solution

The fourth proportional to 771.88, 1,157.11 and 284.56 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.88 : 1,157.11 = 284.56 : x
  2. Step 2: Convert to fraction form
    771.88/1,157.11 = 284.56/x
  3. Step 3: Cross multiply
    771.88x = 1,157.11 × 284.56
  4. Step 4: Simplify right side
    771.88x = 329,267.22
  5. Step 5: Solve for x
    x = 329,267.22/771.88
  6. Step 6: Final answer
    x = 426.58

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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.