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Finding the Fourth Proportional to 771.35, 1,157.02 and 446.54

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Solution

The fourth proportional to 771.35, 1,157.02 and 446.54 is: 669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.35 : 1,157.02 = 446.54 : x
  2. Step 2: Convert to fraction form
    771.35/1,157.02 = 446.54/x
  3. Step 3: Cross multiply
    771.35x = 1,157.02 × 446.54
  4. Step 4: Simplify right side
    771.35x = 516,648.81
  5. Step 5: Solve for x
    x = 516,648.81/771.35
  6. Step 6: Final answer
    x = 669.80

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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.