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Finding the Fourth Proportional to 693.84, 1,042.42 and 405.48

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Solution

The fourth proportional to 693.84, 1,042.42 and 405.48 is: 609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 1,042.42 = 405.48 : x
  2. Step 2: Convert to fraction form
    693.84/1,042.42 = 405.48/x
  3. Step 3: Cross multiply
    693.84x = 1,042.42 × 405.48
  4. Step 4: Simplify right side
    693.84x = 422,680.46
  5. Step 5: Solve for x
    x = 422,680.46/693.84
  6. Step 6: Final answer
    x = 609.19

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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.