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Finding the Fourth Proportional to 712.80, 983.48 and 663.25

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Solution

The fourth proportional to 712.80, 983.48 and 663.25 is: 915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 983.48 = 663.25 : x
  2. Step 2: Convert to fraction form
    712.80/983.48 = 663.25/x
  3. Step 3: Cross multiply
    712.80x = 983.48 × 663.25
  4. Step 4: Simplify right side
    712.80x = 652,293.11
  5. Step 5: Solve for x
    x = 652,293.11/712.80
  6. Step 6: Final answer
    x = 915.11

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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.