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Finding the Fourth Proportional to 968.35, 1,335.81 and 613.65

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Solution

The fourth proportional to 968.35, 1,335.81 and 613.65 is: 846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.35 : 1,335.81 = 613.65 : x
  2. Step 2: Convert to fraction form
    968.35/1,335.81 = 613.65/x
  3. Step 3: Cross multiply
    968.35x = 1,335.81 × 613.65
  4. Step 4: Simplify right side
    968.35x = 819,713.13
  5. Step 5: Solve for x
    x = 819,713.13/968.35
  6. Step 6: Final answer
    x = 846.51

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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.