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Finding the Fourth Proportional to 903.32, 1,354.02 and 512.84

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Solution

The fourth proportional to 903.32, 1,354.02 and 512.84 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.32 : 1,354.02 = 512.84 : x
  2. Step 2: Convert to fraction form
    903.32/1,354.02 = 512.84/x
  3. Step 3: Cross multiply
    903.32x = 1,354.02 × 512.84
  4. Step 4: Simplify right side
    903.32x = 694,388.85
  5. Step 5: Solve for x
    x = 694,388.85/903.32
  6. Step 6: Final answer
    x = 768.71

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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.