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Finding the Fourth Proportional to 713.98, 1,065.10 and 664.26

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Solution

The fourth proportional to 713.98, 1,065.10 and 664.26 is: 990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.98 : 1,065.10 = 664.26 : x
  2. Step 2: Convert to fraction form
    713.98/1,065.10 = 664.26/x
  3. Step 3: Cross multiply
    713.98x = 1,065.10 × 664.26
  4. Step 4: Simplify right side
    713.98x = 707,500.00
  5. Step 5: Solve for x
    x = 707,500.00/713.98
  6. Step 6: Final answer
    x = 990.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.