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Finding the Fourth Proportional to 1,256.28, 1,732.16 and 1,187

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Solution

The fourth proportional to 1,256.28, 1,732.16 and 1,187 is: 1,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.28 : 1,732.16 = 1,187 : x
  2. Step 2: Convert to fraction form
    1,256.28/1,732.16 = 1,187/x
  3. Step 3: Cross multiply
    1,256.28x = 1,732.16 × 1,187
  4. Step 4: Simplify right side
    1,256.28x = 2,056,073.92
  5. Step 5: Solve for x
    x = 2,056,073.92/1,256.28
  6. Step 6: Final answer
    x = 1,636.64

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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.