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Finding the Fourth Proportional to 834.09, 1,150.43 and 585.69

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Solution

The fourth proportional to 834.09, 1,150.43 and 585.69 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.09 : 1,150.43 = 585.69 : x
  2. Step 2: Convert to fraction form
    834.09/1,150.43 = 585.69/x
  3. Step 3: Cross multiply
    834.09x = 1,150.43 × 585.69
  4. Step 4: Simplify right side
    834.09x = 673,795.35
  5. Step 5: Solve for x
    x = 673,795.35/834.09
  6. Step 6: Final answer
    x = 807.82

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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.