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Finding the Fourth Proportional to 782.84, 1,173.44 and 320.44

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Solution

The fourth proportional to 782.84, 1,173.44 and 320.44 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.84 : 1,173.44 = 320.44 : x
  2. Step 2: Convert to fraction form
    782.84/1,173.44 = 320.44/x
  3. Step 3: Cross multiply
    782.84x = 1,173.44 × 320.44
  4. Step 4: Simplify right side
    782.84x = 376,017.11
  5. Step 5: Solve for x
    x = 376,017.11/782.84
  6. Step 6: Final answer
    x = 480.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.