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Finding the Fourth Proportional to 1,033.67, 1,426.62 and 814.28

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Solution

The fourth proportional to 1,033.67, 1,426.62 and 814.28 is: 1,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.67 : 1,426.62 = 814.28 : x
  2. Step 2: Convert to fraction form
    1,033.67/1,426.62 = 814.28/x
  3. Step 3: Cross multiply
    1,033.67x = 1,426.62 × 814.28
  4. Step 4: Simplify right side
    1,033.67x = 1,161,661.00
  5. Step 5: Solve for x
    x = 1,161,661.00/1,033.67
  6. Step 6: Final answer
    x = 1,123.83

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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.