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Finding the Fourth Proportional to 771.92, 1,157.97 and 339.02

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Solution

The fourth proportional to 771.92, 1,157.97 and 339.02 is: 508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,157.97 = 339.02 : x
  2. Step 2: Convert to fraction form
    771.92/1,157.97 = 339.02/x
  3. Step 3: Cross multiply
    771.92x = 1,157.97 × 339.02
  4. Step 4: Simplify right side
    771.92x = 392,574.99
  5. Step 5: Solve for x
    x = 392,574.99/771.92
  6. Step 6: Final answer
    x = 508.57

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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.