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Finding the Fourth Proportional to 771.57, 1,157.49 and 284.76

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Solution

The fourth proportional to 771.57, 1,157.49 and 284.76 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.57 : 1,157.49 = 284.76 : x
  2. Step 2: Convert to fraction form
    771.57/1,157.49 = 284.76/x
  3. Step 3: Cross multiply
    771.57x = 1,157.49 × 284.76
  4. Step 4: Simplify right side
    771.57x = 329,606.85
  5. Step 5: Solve for x
    x = 329,606.85/771.57
  6. Step 6: Final answer
    x = 427.19

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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.