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Finding the Fourth Proportional to 771.94, 1,157.10 and 479.44

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Solution

The fourth proportional to 771.94, 1,157.10 and 479.44 is: 718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.94 : 1,157.10 = 479.44 : x
  2. Step 2: Convert to fraction form
    771.94/1,157.10 = 479.44/x
  3. Step 3: Cross multiply
    771.94x = 1,157.10 × 479.44
  4. Step 4: Simplify right side
    771.94x = 554,760.02
  5. Step 5: Solve for x
    x = 554,760.02/771.94
  6. Step 6: Final answer
    x = 718.66

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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.