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Finding the Fourth Proportional to 771.71, 1,157.83 and 424.60

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Solution

The fourth proportional to 771.71, 1,157.83 and 424.60 is: 637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.71 : 1,157.83 = 424.60 : x
  2. Step 2: Convert to fraction form
    771.71/1,157.83 = 424.60/x
  3. Step 3: Cross multiply
    771.71x = 1,157.83 × 424.60
  4. Step 4: Simplify right side
    771.71x = 491,614.62
  5. Step 5: Solve for x
    x = 491,614.62/771.71
  6. Step 6: Final answer
    x = 637.05

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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.