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Finding the Fourth Proportional to 771.41, 1,156.37 and 284.33

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Solution

The fourth proportional to 771.41, 1,156.37 and 284.33 is: 426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.41 : 1,156.37 = 284.33 : x
  2. Step 2: Convert to fraction form
    771.41/1,156.37 = 284.33/x
  3. Step 3: Cross multiply
    771.41x = 1,156.37 × 284.33
  4. Step 4: Simplify right side
    771.41x = 328,783.48
  5. Step 5: Solve for x
    x = 328,783.48/771.41
  6. Step 6: Final answer
    x = 426.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.