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Finding the Fourth Proportional to 1,385.59, 1,912.12 and 825.95

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Solution

The fourth proportional to 1,385.59, 1,912.12 and 825.95 is: 1,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.59 : 1,912.12 = 825.95 : x
  2. Step 2: Convert to fraction form
    1,385.59/1,912.12 = 825.95/x
  3. Step 3: Cross multiply
    1,385.59x = 1,912.12 × 825.95
  4. Step 4: Simplify right side
    1,385.59x = 1,579,315.51
  5. Step 5: Solve for x
    x = 1,579,315.51/1,385.59
  6. Step 6: Final answer
    x = 1,139.81

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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.