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Finding the Fourth Proportional to 694.58, 1,040.27 and 420.08

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Solution

The fourth proportional to 694.58, 1,040.27 and 420.08 is: 629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.58 : 1,040.27 = 420.08 : x
  2. Step 2: Convert to fraction form
    694.58/1,040.27 = 420.08/x
  3. Step 3: Cross multiply
    694.58x = 1,040.27 × 420.08
  4. Step 4: Simplify right side
    694.58x = 436,989.32
  5. Step 5: Solve for x
    x = 436,989.32/694.58
  6. Step 6: Final answer
    x = 629.15

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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.