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Finding the Fourth Proportional to 928.62, 1,392.93 and 466.29

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Solution

The fourth proportional to 928.62, 1,392.93 and 466.29 is: 699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.62 : 1,392.93 = 466.29 : x
  2. Step 2: Convert to fraction form
    928.62/1,392.93 = 466.29/x
  3. Step 3: Cross multiply
    928.62x = 1,392.93 × 466.29
  4. Step 4: Simplify right side
    928.62x = 649,509.33
  5. Step 5: Solve for x
    x = 649,509.33/928.62
  6. Step 6: Final answer
    x = 699.44

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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.