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Finding the Fourth Proportional to 712.36, 983.54 and 446.91

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Solution

The fourth proportional to 712.36, 983.54 and 446.91 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 983.54 = 446.91 : x
  2. Step 2: Convert to fraction form
    712.36/983.54 = 446.91/x
  3. Step 3: Cross multiply
    712.36x = 983.54 × 446.91
  4. Step 4: Simplify right side
    712.36x = 439,553.86
  5. Step 5: Solve for x
    x = 439,553.86/712.36
  6. Step 6: Final answer
    x = 617.04

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