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Finding the Fourth Proportional to 1,082.88, 1,620.82 and 670.08

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Solution

The fourth proportional to 1,082.88, 1,620.82 and 670.08 is: 1,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.88 : 1,620.82 = 670.08 : x
  2. Step 2: Convert to fraction form
    1,082.88/1,620.82 = 670.08/x
  3. Step 3: Cross multiply
    1,082.88x = 1,620.82 × 670.08
  4. Step 4: Simplify right side
    1,082.88x = 1,086,079.07
  5. Step 5: Solve for x
    x = 1,086,079.07/1,082.88
  6. Step 6: Final answer
    x = 1,002.95

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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.