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Finding the Fourth Proportional to 712.16, 983.12 and 557.44

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Solution

The fourth proportional to 712.16, 983.12 and 557.44 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 983.12 = 557.44 : x
  2. Step 2: Convert to fraction form
    712.16/983.12 = 557.44/x
  3. Step 3: Cross multiply
    712.16x = 983.12 × 557.44
  4. Step 4: Simplify right side
    712.16x = 548,030.41
  5. Step 5: Solve for x
    x = 548,030.41/712.16
  6. Step 6: Final answer
    x = 769.53

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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.