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Finding the Fourth Proportional to 771.68, 1,157.82 and 284.77

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Solution

The fourth proportional to 771.68, 1,157.82 and 284.77 is: 427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.68 : 1,157.82 = 284.77 : x
  2. Step 2: Convert to fraction form
    771.68/1,157.82 = 284.77/x
  3. Step 3: Cross multiply
    771.68x = 1,157.82 × 284.77
  4. Step 4: Simplify right side
    771.68x = 329,707.87
  5. Step 5: Solve for x
    x = 329,707.87/771.68
  6. Step 6: Final answer
    x = 427.26

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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.