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Finding the Fourth Proportional to 1,033.00, 1,426.61 and 794.45

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Solution

The fourth proportional to 1,033.00, 1,426.61 and 794.45 is: 1,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.00 : 1,426.61 = 794.45 : x
  2. Step 2: Convert to fraction form
    1,033.00/1,426.61 = 794.45/x
  3. Step 3: Cross multiply
    1,033.00x = 1,426.61 × 794.45
  4. Step 4: Simplify right side
    1,033.00x = 1,133,366.34
  5. Step 5: Solve for x
    x = 1,133,366.34/1,033.00
  6. Step 6: Final answer
    x = 1,097.17

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