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Finding the Fourth Proportional to 701.68, 968.64 and 515.18

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Solution

The fourth proportional to 701.68, 968.64 and 515.18 is: 711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 968.64 = 515.18 : x
  2. Step 2: Convert to fraction form
    701.68/968.64 = 515.18/x
  3. Step 3: Cross multiply
    701.68x = 968.64 × 515.18
  4. Step 4: Simplify right side
    701.68x = 499,023.96
  5. Step 5: Solve for x
    x = 499,023.96/701.68
  6. Step 6: Final answer
    x = 711.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.