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Finding the Fourth Proportional to 782.71, 1,173.16 and 343.80

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Solution

The fourth proportional to 782.71, 1,173.16 and 343.80 is: 515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.71 : 1,173.16 = 343.80 : x
  2. Step 2: Convert to fraction form
    782.71/1,173.16 = 343.80/x
  3. Step 3: Cross multiply
    782.71x = 1,173.16 × 343.80
  4. Step 4: Simplify right side
    782.71x = 403,332.41
  5. Step 5: Solve for x
    x = 403,332.41/782.71
  6. Step 6: Final answer
    x = 515.30

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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.