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Finding the Fourth Proportional to 809.57, 1,214.10 and 261.65

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Solution

The fourth proportional to 809.57, 1,214.10 and 261.65 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.57 : 1,214.10 = 261.65 : x
  2. Step 2: Convert to fraction form
    809.57/1,214.10 = 261.65/x
  3. Step 3: Cross multiply
    809.57x = 1,214.10 × 261.65
  4. Step 4: Simplify right side
    809.57x = 317,663.19
  5. Step 5: Solve for x
    x = 317,663.19/809.57
  6. Step 6: Final answer
    x = 392.38

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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.