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Finding the Fourth Proportional to 834.08, 1,151.26 and 585.46

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Solution

The fourth proportional to 834.08, 1,151.26 and 585.46 is: 808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.08 : 1,151.26 = 585.46 : x
  2. Step 2: Convert to fraction form
    834.08/1,151.26 = 585.46/x
  3. Step 3: Cross multiply
    834.08x = 1,151.26 × 585.46
  4. Step 4: Simplify right side
    834.08x = 674,016.66
  5. Step 5: Solve for x
    x = 674,016.66/834.08
  6. Step 6: Final answer
    x = 808.10

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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.