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Finding the Fourth Proportional to 804.48, 1,204.40 and 727.58

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Solution

The fourth proportional to 804.48, 1,204.40 and 727.58 is: 1,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.48 : 1,204.40 = 727.58 : x
  2. Step 2: Convert to fraction form
    804.48/1,204.40 = 727.58/x
  3. Step 3: Cross multiply
    804.48x = 1,204.40 × 727.58
  4. Step 4: Simplify right side
    804.48x = 876,297.35
  5. Step 5: Solve for x
    x = 876,297.35/804.48
  6. Step 6: Final answer
    x = 1,089.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.