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Finding the Fourth Proportional to 727.65, 1,090.44 and 419.58

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Solution

The fourth proportional to 727.65, 1,090.44 and 419.58 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.65 : 1,090.44 = 419.58 : x
  2. Step 2: Convert to fraction form
    727.65/1,090.44 = 419.58/x
  3. Step 3: Cross multiply
    727.65x = 1,090.44 × 419.58
  4. Step 4: Simplify right side
    727.65x = 457,519.27
  5. Step 5: Solve for x
    x = 457,519.27/727.65
  6. Step 6: Final answer
    x = 628.77

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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.