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Finding the Fourth Proportional to 968.65, 1,335.31 and 835.29

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Solution

The fourth proportional to 968.65, 1,335.31 and 835.29 is: 1,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.65 : 1,335.31 = 835.29 : x
  2. Step 2: Convert to fraction form
    968.65/1,335.31 = 835.29/x
  3. Step 3: Cross multiply
    968.65x = 1,335.31 × 835.29
  4. Step 4: Simplify right side
    968.65x = 1,115,371.09
  5. Step 5: Solve for x
    x = 1,115,371.09/968.65
  6. Step 6: Final answer
    x = 1,151.47

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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.