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Finding the Fourth Proportional to 1,415.71, 1,952.94 and 825.76

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Solution

The fourth proportional to 1,415.71, 1,952.94 and 825.76 is: 1,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.71 : 1,952.94 = 825.76 : x
  2. Step 2: Convert to fraction form
    1,415.71/1,952.94 = 825.76/x
  3. Step 3: Cross multiply
    1,415.71x = 1,952.94 × 825.76
  4. Step 4: Simplify right side
    1,415.71x = 1,612,659.73
  5. Step 5: Solve for x
    x = 1,612,659.73/1,415.71
  6. Step 6: Final answer
    x = 1,139.12

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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.