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Finding the Fourth Proportional to 771.42, 1,157.02 and 284.36

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Solution

The fourth proportional to 771.42, 1,157.02 and 284.36 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.42 : 1,157.02 = 284.36 : x
  2. Step 2: Convert to fraction form
    771.42/1,157.02 = 284.36/x
  3. Step 3: Cross multiply
    771.42x = 1,157.02 × 284.36
  4. Step 4: Simplify right side
    771.42x = 329,010.21
  5. Step 5: Solve for x
    x = 329,010.21/771.42
  6. Step 6: Final answer
    x = 426.50

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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.