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Finding the Fourth Proportional to 772.04, 1,065.34 and 440.44

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Solution

The fourth proportional to 772.04, 1,065.34 and 440.44 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,065.34 = 440.44 : x
  2. Step 2: Convert to fraction form
    772.04/1,065.34 = 440.44/x
  3. Step 3: Cross multiply
    772.04x = 1,065.34 × 440.44
  4. Step 4: Simplify right side
    772.04x = 469,218.35
  5. Step 5: Solve for x
    x = 469,218.35/772.04
  6. Step 6: Final answer
    x = 607.76

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