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Finding the Fourth Proportional to 727.29, 1,090.05 and 419.28

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Solution

The fourth proportional to 727.29, 1,090.05 and 419.28 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.29 : 1,090.05 = 419.28 : x
  2. Step 2: Convert to fraction form
    727.29/1,090.05 = 419.28/x
  3. Step 3: Cross multiply
    727.29x = 1,090.05 × 419.28
  4. Step 4: Simplify right side
    727.29x = 457,036.16
  5. Step 5: Solve for x
    x = 457,036.16/727.29
  6. Step 6: Final answer
    x = 628.41

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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.