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Finding the Fourth Proportional to 809.42, 1,115.70 and 609.96

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Solution

The fourth proportional to 809.42, 1,115.70 and 609.96 is: 840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.42 : 1,115.70 = 609.96 : x
  2. Step 2: Convert to fraction form
    809.42/1,115.70 = 609.96/x
  3. Step 3: Cross multiply
    809.42x = 1,115.70 × 609.96
  4. Step 4: Simplify right side
    809.42x = 680,532.37
  5. Step 5: Solve for x
    x = 680,532.37/809.42
  6. Step 6: Final answer
    x = 840.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.