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Finding the Fourth Proportional to 834.30, 1,151.13 and 484.77

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Solution

The fourth proportional to 834.30, 1,151.13 and 484.77 is: 668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.30 : 1,151.13 = 484.77 : x
  2. Step 2: Convert to fraction form
    834.30/1,151.13 = 484.77/x
  3. Step 3: Cross multiply
    834.30x = 1,151.13 × 484.77
  4. Step 4: Simplify right side
    834.30x = 558,033.29
  5. Step 5: Solve for x
    x = 558,033.29/834.30
  6. Step 6: Final answer
    x = 668.86

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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.