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Finding the Fourth Proportional to 895, 1,344 and 827.65

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Solution

The fourth proportional to 895, 1,344 and 827.65 is: 1,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    895 : 1,344 = 827.65 : x
  2. Step 2: Convert to fraction form
    895/1,344 = 827.65/x
  3. Step 3: Cross multiply
    895x = 1,344 × 827.65
  4. Step 4: Simplify right side
    895x = 1,112,361.60
  5. Step 5: Solve for x
    x = 1,112,361.60/895
  6. Step 6: Final answer
    x = 1,242.86

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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.