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Finding the Fourth Proportional to 713.64, 984.60 and 480.90

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Solution

The fourth proportional to 713.64, 984.60 and 480.90 is: 663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 984.60 = 480.90 : x
  2. Step 2: Convert to fraction form
    713.64/984.60 = 480.90/x
  3. Step 3: Cross multiply
    713.64x = 984.60 × 480.90
  4. Step 4: Simplify right side
    713.64x = 473,494.14
  5. Step 5: Solve for x
    x = 473,494.14/713.64
  6. Step 6: Final answer
    x = 663.49

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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.