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Finding the Fourth Proportional to 1,384.51, 1,910.94 and 825.28

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Solution

The fourth proportional to 1,384.51, 1,910.94 and 825.28 is: 1,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.51 : 1,910.94 = 825.28 : x
  2. Step 2: Convert to fraction form
    1,384.51/1,910.94 = 825.28/x
  3. Step 3: Cross multiply
    1,384.51x = 1,910.94 × 825.28
  4. Step 4: Simplify right side
    1,384.51x = 1,577,060.56
  5. Step 5: Solve for x
    x = 1,577,060.56/1,384.51
  6. Step 6: Final answer
    x = 1,139.07

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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.