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Finding the Fourth Proportional to 1,033.28, 1,546.98 and 935.95

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Solution

The fourth proportional to 1,033.28, 1,546.98 and 935.95 is: 1,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.28 : 1,546.98 = 935.95 : x
  2. Step 2: Convert to fraction form
    1,033.28/1,546.98 = 935.95/x
  3. Step 3: Cross multiply
    1,033.28x = 1,546.98 × 935.95
  4. Step 4: Simplify right side
    1,033.28x = 1,447,895.93
  5. Step 5: Solve for x
    x = 1,447,895.93/1,033.28
  6. Step 6: Final answer
    x = 1,401.26

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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.