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Finding the Fourth Proportional to 823.65, 1,234.10 and 579.74

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Solution

The fourth proportional to 823.65, 1,234.10 and 579.74 is: 868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.65 : 1,234.10 = 579.74 : x
  2. Step 2: Convert to fraction form
    823.65/1,234.10 = 579.74/x
  3. Step 3: Cross multiply
    823.65x = 1,234.10 × 579.74
  4. Step 4: Simplify right side
    823.65x = 715,457.13
  5. Step 5: Solve for x
    x = 715,457.13/823.65
  6. Step 6: Final answer
    x = 868.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.