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Finding the Fourth Proportional to 771.24, 1,156.87 and 284.29

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Solution

The fourth proportional to 771.24, 1,156.87 and 284.29 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.24 : 1,156.87 = 284.29 : x
  2. Step 2: Convert to fraction form
    771.24/1,156.87 = 284.29/x
  3. Step 3: Cross multiply
    771.24x = 1,156.87 × 284.29
  4. Step 4: Simplify right side
    771.24x = 328,887.70
  5. Step 5: Solve for x
    x = 328,887.70/771.24
  6. Step 6: Final answer
    x = 426.44

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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.