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Finding the Fourth Proportional to 771.14, 1,157.28 and 566.24

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Solution

The fourth proportional to 771.14, 1,157.28 and 566.24 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.14 : 1,157.28 = 566.24 : x
  2. Step 2: Convert to fraction form
    771.14/1,157.28 = 566.24/x
  3. Step 3: Cross multiply
    771.14x = 1,157.28 × 566.24
  4. Step 4: Simplify right side
    771.14x = 655,298.23
  5. Step 5: Solve for x
    x = 655,298.23/771.14
  6. Step 6: Final answer
    x = 849.78

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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.