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Finding the Fourth Proportional to 1,069.16, 1,601.82 and 895.64

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Solution

The fourth proportional to 1,069.16, 1,601.82 and 895.64 is: 1,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.16 : 1,601.82 = 895.64 : x
  2. Step 2: Convert to fraction form
    1,069.16/1,601.82 = 895.64/x
  3. Step 3: Cross multiply
    1,069.16x = 1,601.82 × 895.64
  4. Step 4: Simplify right side
    1,069.16x = 1,434,654.06
  5. Step 5: Solve for x
    x = 1,434,654.06/1,069.16
  6. Step 6: Final answer
    x = 1,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.