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Finding the Fourth Proportional to 929.12, 1,394.07 and 408.85

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Solution

The fourth proportional to 929.12, 1,394.07 and 408.85 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,394.07 = 408.85 : x
  2. Step 2: Convert to fraction form
    929.12/1,394.07 = 408.85/x
  3. Step 3: Cross multiply
    929.12x = 1,394.07 × 408.85
  4. Step 4: Simplify right side
    929.12x = 569,963.48
  5. Step 5: Solve for x
    x = 569,963.48/929.12
  6. Step 6: Final answer
    x = 613.44

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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.