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Finding the Fourth Proportional to 681.66, 1,020.94 and 352.69

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Solution

The fourth proportional to 681.66, 1,020.94 and 352.69 is: 528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.66 : 1,020.94 = 352.69 : x
  2. Step 2: Convert to fraction form
    681.66/1,020.94 = 352.69/x
  3. Step 3: Cross multiply
    681.66x = 1,020.94 × 352.69
  4. Step 4: Simplify right side
    681.66x = 360,073.57
  5. Step 5: Solve for x
    x = 360,073.57/681.66
  6. Step 6: Final answer
    x = 528.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.