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Finding the Fourth Proportional to 694.38, 1,041.05 and 420.41

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Solution

The fourth proportional to 694.38, 1,041.05 and 420.41 is: 630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.38 : 1,041.05 = 420.41 : x
  2. Step 2: Convert to fraction form
    694.38/1,041.05 = 420.41/x
  3. Step 3: Cross multiply
    694.38x = 1,041.05 × 420.41
  4. Step 4: Simplify right side
    694.38x = 437,667.58
  5. Step 5: Solve for x
    x = 437,667.58/694.38
  6. Step 6: Final answer
    x = 630.30

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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.