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Finding the Fourth Proportional to 1,069.54, 1,601.61 and 895.78

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Solution

The fourth proportional to 1,069.54, 1,601.61 and 895.78 is: 1,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.54 : 1,601.61 = 895.78 : x
  2. Step 2: Convert to fraction form
    1,069.54/1,601.61 = 895.78/x
  3. Step 3: Cross multiply
    1,069.54x = 1,601.61 × 895.78
  4. Step 4: Simplify right side
    1,069.54x = 1,434,690.21
  5. Step 5: Solve for x
    x = 1,434,690.21/1,069.54
  6. Step 6: Final answer
    x = 1,341.41

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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.