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Finding the Fourth Proportional to 714, 984.78 and 493.32

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Solution

The fourth proportional to 714, 984.78 and 493.32 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714 : 984.78 = 493.32 : x
  2. Step 2: Convert to fraction form
    714/984.78 = 493.32/x
  3. Step 3: Cross multiply
    714x = 984.78 × 493.32
  4. Step 4: Simplify right side
    714x = 485,811.67
  5. Step 5: Solve for x
    x = 485,811.67/714
  6. Step 6: Final answer
    x = 680.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.