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Finding the Fourth Proportional to 771.85, 1,065.10 and 440.26

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Solution

The fourth proportional to 771.85, 1,065.10 and 440.26 is: 607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,065.10 = 440.26 : x
  2. Step 2: Convert to fraction form
    771.85/1,065.10 = 440.26/x
  3. Step 3: Cross multiply
    771.85x = 1,065.10 × 440.26
  4. Step 4: Simplify right side
    771.85x = 468,920.93
  5. Step 5: Solve for x
    x = 468,920.93/771.85
  6. Step 6: Final answer
    x = 607.53

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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.