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Finding the Fourth Proportional to 712.84, 983.94 and 479.96

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Solution

The fourth proportional to 712.84, 983.94 and 479.96 is: 662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 983.94 = 479.96 : x
  2. Step 2: Convert to fraction form
    712.84/983.94 = 479.96/x
  3. Step 3: Cross multiply
    712.84x = 983.94 × 479.96
  4. Step 4: Simplify right side
    712.84x = 472,251.84
  5. Step 5: Solve for x
    x = 472,251.84/712.84
  6. Step 6: Final answer
    x = 662.49

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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.