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Finding the Fourth Proportional to 771.98, 1,158.09 and 425.48

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Solution

The fourth proportional to 771.98, 1,158.09 and 425.48 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.98 : 1,158.09 = 425.48 : x
  2. Step 2: Convert to fraction form
    771.98/1,158.09 = 425.48/x
  3. Step 3: Cross multiply
    771.98x = 1,158.09 × 425.48
  4. Step 4: Simplify right side
    771.98x = 492,738.34
  5. Step 5: Solve for x
    x = 492,738.34/771.98
  6. Step 6: Final answer
    x = 638.28

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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.