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Finding the Fourth Proportional to 1,033.33, 1,426.67 and 660.46

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Solution

The fourth proportional to 1,033.33, 1,426.67 and 660.46 is: 911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.33 : 1,426.67 = 660.46 : x
  2. Step 2: Convert to fraction form
    1,033.33/1,426.67 = 660.46/x
  3. Step 3: Cross multiply
    1,033.33x = 1,426.67 × 660.46
  4. Step 4: Simplify right side
    1,033.33x = 942,258.47
  5. Step 5: Solve for x
    x = 942,258.47/1,033.33
  6. Step 6: Final answer
    x = 911.87

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Why These Related Problems?

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