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Finding the Fourth Proportional to 1,033.81, 1,426.87 and 592.01

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Solution

The fourth proportional to 1,033.81, 1,426.87 and 592.01 is: 817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.81 : 1,426.87 = 592.01 : x
  2. Step 2: Convert to fraction form
    1,033.81/1,426.87 = 592.01/x
  3. Step 3: Cross multiply
    1,033.81x = 1,426.87 × 592.01
  4. Step 4: Simplify right side
    1,033.81x = 844,716.94
  5. Step 5: Solve for x
    x = 844,716.94/1,033.81
  6. Step 6: Final answer
    x = 817.09

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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.