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Finding the Fourth Proportional to 1,033.59, 1,426.52 and 814.21

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Solution

The fourth proportional to 1,033.59, 1,426.52 and 814.21 is: 1,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.59 : 1,426.52 = 814.21 : x
  2. Step 2: Convert to fraction form
    1,033.59/1,426.52 = 814.21/x
  3. Step 3: Cross multiply
    1,033.59x = 1,426.52 × 814.21
  4. Step 4: Simplify right side
    1,033.59x = 1,161,486.85
  5. Step 5: Solve for x
    x = 1,161,486.85/1,033.59
  6. Step 6: Final answer
    x = 1,123.74

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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.