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Finding the Fourth Proportional to 771.37, 1,156.37 and 284.30

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Solution

The fourth proportional to 771.37, 1,156.37 and 284.30 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.37 : 1,156.37 = 284.30 : x
  2. Step 2: Convert to fraction form
    771.37/1,156.37 = 284.30/x
  3. Step 3: Cross multiply
    771.37x = 1,156.37 × 284.30
  4. Step 4: Simplify right side
    771.37x = 328,757.46
  5. Step 5: Solve for x
    x = 328,757.46/771.37
  6. Step 6: Final answer
    x = 426.20

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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.