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Finding the Fourth Proportional to 785.02, 1,172.40 and 668.22

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Solution

The fourth proportional to 785.02, 1,172.40 and 668.22 is: 997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.02 : 1,172.40 = 668.22 : x
  2. Step 2: Convert to fraction form
    785.02/1,172.40 = 668.22/x
  3. Step 3: Cross multiply
    785.02x = 1,172.40 × 668.22
  4. Step 4: Simplify right side
    785.02x = 783,421.13
  5. Step 5: Solve for x
    x = 783,421.13/785.02
  6. Step 6: Final answer
    x = 997.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.