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Finding the Fourth Proportional to 725.65, 1,000.65 and 568

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Solution

The fourth proportional to 725.65, 1,000.65 and 568 is: 783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.65 : 1,000.65 = 568 : x
  2. Step 2: Convert to fraction form
    725.65/1,000.65 = 568/x
  3. Step 3: Cross multiply
    725.65x = 1,000.65 × 568
  4. Step 4: Simplify right side
    725.65x = 568,369.20
  5. Step 5: Solve for x
    x = 568,369.20/725.65
  6. Step 6: Final answer
    x = 783.26

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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.