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Finding the Fourth Proportional to 782.19, 1,172.79 and 666.18

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Solution

The fourth proportional to 782.19, 1,172.79 and 666.18 is: 998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,172.79 = 666.18 : x
  2. Step 2: Convert to fraction form
    782.19/1,172.79 = 666.18/x
  3. Step 3: Cross multiply
    782.19x = 1,172.79 × 666.18
  4. Step 4: Simplify right side
    782.19x = 781,289.24
  5. Step 5: Solve for x
    x = 781,289.24/782.19
  6. Step 6: Final answer
    x = 998.85

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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.