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Finding the Fourth Proportional to 668.72, 995.14 and 642.80

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Solution

The fourth proportional to 668.72, 995.14 and 642.80 is: 956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.72 : 995.14 = 642.80 : x
  2. Step 2: Convert to fraction form
    668.72/995.14 = 642.80/x
  3. Step 3: Cross multiply
    668.72x = 995.14 × 642.80
  4. Step 4: Simplify right side
    668.72x = 639,675.99
  5. Step 5: Solve for x
    x = 639,675.99/668.72
  6. Step 6: Final answer
    x = 956.57

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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.