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Finding the Fourth Proportional to 771.25, 1,064.30 and 439.72

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Solution

The fourth proportional to 771.25, 1,064.30 and 439.72 is: 606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.25 : 1,064.30 = 439.72 : x
  2. Step 2: Convert to fraction form
    771.25/1,064.30 = 439.72/x
  3. Step 3: Cross multiply
    771.25x = 1,064.30 × 439.72
  4. Step 4: Simplify right side
    771.25x = 467,994.00
  5. Step 5: Solve for x
    x = 467,994.00/771.25
  6. Step 6: Final answer
    x = 606.80

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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.