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Finding the Fourth Proportional to 983.49, 1,482.00 and 813.97

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Solution

The fourth proportional to 983.49, 1,482.00 and 813.97 is: 1,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.49 : 1,482.00 = 813.97 : x
  2. Step 2: Convert to fraction form
    983.49/1,482.00 = 813.97/x
  3. Step 3: Cross multiply
    983.49x = 1,482.00 × 813.97
  4. Step 4: Simplify right side
    983.49x = 1,206,299.47
  5. Step 5: Solve for x
    x = 1,206,299.47/983.49
  6. Step 6: Final answer
    x = 1,226.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.