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Finding the Fourth Proportional to 688.44, 1,033.92 and 415.11

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Solution

The fourth proportional to 688.44, 1,033.92 and 415.11 is: 623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.44 : 1,033.92 = 415.11 : x
  2. Step 2: Convert to fraction form
    688.44/1,033.92 = 415.11/x
  3. Step 3: Cross multiply
    688.44x = 1,033.92 × 415.11
  4. Step 4: Simplify right side
    688.44x = 429,190.53
  5. Step 5: Solve for x
    x = 429,190.53/688.44
  6. Step 6: Final answer
    x = 623.42

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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.