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Finding the Fourth Proportional to 713.20, 983.73 and 477.05

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Solution

The fourth proportional to 713.20, 983.73 and 477.05 is: 658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.20 : 983.73 = 477.05 : x
  2. Step 2: Convert to fraction form
    713.20/983.73 = 477.05/x
  3. Step 3: Cross multiply
    713.20x = 983.73 × 477.05
  4. Step 4: Simplify right side
    713.20x = 469,288.40
  5. Step 5: Solve for x
    x = 469,288.40/713.20
  6. Step 6: Final answer
    x = 658.00

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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.