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Finding the Fourth Proportional to 694.46, 1,041.18 and 420.49

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Solution

The fourth proportional to 694.46, 1,041.18 and 420.49 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.46 : 1,041.18 = 420.49 : x
  2. Step 2: Convert to fraction form
    694.46/1,041.18 = 420.49/x
  3. Step 3: Cross multiply
    694.46x = 1,041.18 × 420.49
  4. Step 4: Simplify right side
    694.46x = 437,800.57
  5. Step 5: Solve for x
    x = 437,800.57/694.46
  6. Step 6: Final answer
    x = 630.42

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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.