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Finding the Fourth Proportional to 1,287.13, 1,776.50 and 727.62

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Solution

The fourth proportional to 1,287.13, 1,776.50 and 727.62 is: 1,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.13 : 1,776.50 = 727.62 : x
  2. Step 2: Convert to fraction form
    1,287.13/1,776.50 = 727.62/x
  3. Step 3: Cross multiply
    1,287.13x = 1,776.50 × 727.62
  4. Step 4: Simplify right side
    1,287.13x = 1,292,616.02
  5. Step 5: Solve for x
    x = 1,292,616.02/1,287.13
  6. Step 6: Final answer
    x = 1,004.26

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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.