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Finding the Fourth Proportional to 771.20, 1,156.82 and 284.16

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Solution

The fourth proportional to 771.20, 1,156.82 and 284.16 is: 426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.20 : 1,156.82 = 284.16 : x
  2. Step 2: Convert to fraction form
    771.20/1,156.82 = 284.16/x
  3. Step 3: Cross multiply
    771.20x = 1,156.82 × 284.16
  4. Step 4: Simplify right side
    771.20x = 328,721.97
  5. Step 5: Solve for x
    x = 328,721.97/771.20
  6. Step 6: Final answer
    x = 426.25

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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.