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Finding the Fourth Proportional to 716.22, 993.65 and 690.30

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Solution

The fourth proportional to 716.22, 993.65 and 690.30 is: 957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.22 : 993.65 = 690.30 : x
  2. Step 2: Convert to fraction form
    716.22/993.65 = 690.30/x
  3. Step 3: Cross multiply
    716.22x = 993.65 × 690.30
  4. Step 4: Simplify right side
    716.22x = 685,913.14
  5. Step 5: Solve for x
    x = 685,913.14/716.22
  6. Step 6: Final answer
    x = 957.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.