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Finding the Fourth Proportional to 825.13, 1,238.49 and 672.90

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Solution

The fourth proportional to 825.13, 1,238.49 and 672.90 is: 1,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.13 : 1,238.49 = 672.90 : x
  2. Step 2: Convert to fraction form
    825.13/1,238.49 = 672.90/x
  3. Step 3: Cross multiply
    825.13x = 1,238.49 × 672.90
  4. Step 4: Simplify right side
    825.13x = 833,378.76
  5. Step 5: Solve for x
    x = 833,378.76/825.13
  6. Step 6: Final answer
    x = 1,010.00

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