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Finding the Fourth Proportional to 679.02, 1,018.02 and 419.07

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Solution

The fourth proportional to 679.02, 1,018.02 and 419.07 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.02 : 1,018.02 = 419.07 : x
  2. Step 2: Convert to fraction form
    679.02/1,018.02 = 419.07/x
  3. Step 3: Cross multiply
    679.02x = 1,018.02 × 419.07
  4. Step 4: Simplify right side
    679.02x = 426,621.64
  5. Step 5: Solve for x
    x = 426,621.64/679.02
  6. Step 6: Final answer
    x = 628.29

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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.