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Finding the Fourth Proportional to 834.65, 1,151.87 and 586.04

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Solution

The fourth proportional to 834.65, 1,151.87 and 586.04 is: 808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.65 : 1,151.87 = 586.04 : x
  2. Step 2: Convert to fraction form
    834.65/1,151.87 = 586.04/x
  3. Step 3: Cross multiply
    834.65x = 1,151.87 × 586.04
  4. Step 4: Simplify right side
    834.65x = 675,036.50
  5. Step 5: Solve for x
    x = 675,036.50/834.65
  6. Step 6: Final answer
    x = 808.76

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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.