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Finding the Fourth Proportional to 1,352.94, 1,864.40 and 959.28

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Solution

The fourth proportional to 1,352.94, 1,864.40 and 959.28 is: 1,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.94 : 1,864.40 = 959.28 : x
  2. Step 2: Convert to fraction form
    1,352.94/1,864.40 = 959.28/x
  3. Step 3: Cross multiply
    1,352.94x = 1,864.40 × 959.28
  4. Step 4: Simplify right side
    1,352.94x = 1,788,481.63
  5. Step 5: Solve for x
    x = 1,788,481.63/1,352.94
  6. Step 6: Final answer
    x = 1,321.92

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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.