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Finding the Fourth Proportional to 1,287.60, 1,776.96 and 727.86

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Solution

The fourth proportional to 1,287.60, 1,776.96 and 727.86 is: 1,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.60 : 1,776.96 = 727.86 : x
  2. Step 2: Convert to fraction form
    1,287.60/1,776.96 = 727.86/x
  3. Step 3: Cross multiply
    1,287.60x = 1,776.96 × 727.86
  4. Step 4: Simplify right side
    1,287.60x = 1,293,377.21
  5. Step 5: Solve for x
    x = 1,293,377.21/1,287.60
  6. Step 6: Final answer
    x = 1,004.49

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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.