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Finding the Fourth Proportional to 713.28, 983.96 and 492.35

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Solution

The fourth proportional to 713.28, 983.96 and 492.35 is: 679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.28 : 983.96 = 492.35 : x
  2. Step 2: Convert to fraction form
    713.28/983.96 = 492.35/x
  3. Step 3: Cross multiply
    713.28x = 983.96 × 492.35
  4. Step 4: Simplify right side
    713.28x = 484,452.71
  5. Step 5: Solve for x
    x = 484,452.71/713.28
  6. Step 6: Final answer
    x = 679.19

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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.