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Finding the Fourth Proportional to 782.94, 1,173.95 and 344.17

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Solution

The fourth proportional to 782.94, 1,173.95 and 344.17 is: 516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,173.95 = 344.17 : x
  2. Step 2: Convert to fraction form
    782.94/1,173.95 = 344.17/x
  3. Step 3: Cross multiply
    782.94x = 1,173.95 × 344.17
  4. Step 4: Simplify right side
    782.94x = 404,038.37
  5. Step 5: Solve for x
    x = 404,038.37/782.94
  6. Step 6: Final answer
    x = 516.05

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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.