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Finding the Fourth Proportional to 1,287.11, 1,776.31 and 727.63

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Solution

The fourth proportional to 1,287.11, 1,776.31 and 727.63 is: 1,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.11 : 1,776.31 = 727.63 : x
  2. Step 2: Convert to fraction form
    1,287.11/1,776.31 = 727.63/x
  3. Step 3: Cross multiply
    1,287.11x = 1,776.31 × 727.63
  4. Step 4: Simplify right side
    1,287.11x = 1,292,490.19
  5. Step 5: Solve for x
    x = 1,292,490.19/1,287.11
  6. Step 6: Final answer
    x = 1,004.18

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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.