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Finding the Fourth Proportional to 713.00, 983.43 and 491.60

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Solution

The fourth proportional to 713.00, 983.43 and 491.60 is: 678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.00 : 983.43 = 491.60 : x
  2. Step 2: Convert to fraction form
    713.00/983.43 = 491.60/x
  3. Step 3: Cross multiply
    713.00x = 983.43 × 491.60
  4. Step 4: Simplify right side
    713.00x = 483,449.27
  5. Step 5: Solve for x
    x = 483,449.27/713.00
  6. Step 6: Final answer
    x = 678.05

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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.