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Finding the Fourth Proportional to 983.95, 1,356.33 and 827.08

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Solution

The fourth proportional to 983.95, 1,356.33 and 827.08 is: 1,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.95 : 1,356.33 = 827.08 : x
  2. Step 2: Convert to fraction form
    983.95/1,356.33 = 827.08/x
  3. Step 3: Cross multiply
    983.95x = 1,356.33 × 827.08
  4. Step 4: Simplify right side
    983.95x = 1,121,793.42
  5. Step 5: Solve for x
    x = 1,121,793.42/983.95
  6. Step 6: Final answer
    x = 1,140.09

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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.