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Finding the Fourth Proportional to 771.90, 1,158.27 and 284.88

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Solution

The fourth proportional to 771.90, 1,158.27 and 284.88 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,158.27 = 284.88 : x
  2. Step 2: Convert to fraction form
    771.90/1,158.27 = 284.88/x
  3. Step 3: Cross multiply
    771.90x = 1,158.27 × 284.88
  4. Step 4: Simplify right side
    771.90x = 329,967.96
  5. Step 5: Solve for x
    x = 329,967.96/771.90
  6. Step 6: Final answer
    x = 427.48

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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.