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Finding the Fourth Proportional to 1,082.40, 1,620.84 and 716.07

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Solution

The fourth proportional to 1,082.40, 1,620.84 and 716.07 is: 1,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.40 : 1,620.84 = 716.07 : x
  2. Step 2: Convert to fraction form
    1,082.40/1,620.84 = 716.07/x
  3. Step 3: Cross multiply
    1,082.40x = 1,620.84 × 716.07
  4. Step 4: Simplify right side
    1,082.40x = 1,160,634.90
  5. Step 5: Solve for x
    x = 1,160,634.90/1,082.40
  6. Step 6: Final answer
    x = 1,072.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.