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Finding the Fourth Proportional to 1,268.06, 1,748.97 and 895.14

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Solution

The fourth proportional to 1,268.06, 1,748.97 and 895.14 is: 1,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.06 : 1,748.97 = 895.14 : x
  2. Step 2: Convert to fraction form
    1,268.06/1,748.97 = 895.14/x
  3. Step 3: Cross multiply
    1,268.06x = 1,748.97 × 895.14
  4. Step 4: Simplify right side
    1,268.06x = 1,565,573.01
  5. Step 5: Solve for x
    x = 1,565,573.01/1,268.06
  6. Step 6: Final answer
    x = 1,234.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.