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Finding the Fourth Proportional to 728.18, 1,090.63 and 419.30

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Solution

The fourth proportional to 728.18, 1,090.63 and 419.30 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.18 : 1,090.63 = 419.30 : x
  2. Step 2: Convert to fraction form
    728.18/1,090.63 = 419.30/x
  3. Step 3: Cross multiply
    728.18x = 1,090.63 × 419.30
  4. Step 4: Simplify right side
    728.18x = 457,301.16
  5. Step 5: Solve for x
    x = 457,301.16/728.18
  6. Step 6: Final answer
    x = 628.01

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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.