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Finding the Fourth Proportional to 834.59, 1,151.12 and 586.19

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Solution

The fourth proportional to 834.59, 1,151.12 and 586.19 is: 808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.59 : 1,151.12 = 586.19 : x
  2. Step 2: Convert to fraction form
    834.59/1,151.12 = 586.19/x
  3. Step 3: Cross multiply
    834.59x = 1,151.12 × 586.19
  4. Step 4: Simplify right side
    834.59x = 674,766.35
  5. Step 5: Solve for x
    x = 674,766.35/834.59
  6. Step 6: Final answer
    x = 808.51

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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.