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Finding the Fourth Proportional to 771.92, 1,065.26 and 440.37

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Solution

The fourth proportional to 771.92, 1,065.26 and 440.37 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,065.26 = 440.37 : x
  2. Step 2: Convert to fraction form
    771.92/1,065.26 = 440.37/x
  3. Step 3: Cross multiply
    771.92x = 1,065.26 × 440.37
  4. Step 4: Simplify right side
    771.92x = 469,108.55
  5. Step 5: Solve for x
    x = 469,108.55/771.92
  6. Step 6: Final answer
    x = 607.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.