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Finding the Fourth Proportional to 834.55, 1,151.69 and 461.52

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Solution

The fourth proportional to 834.55, 1,151.69 and 461.52 is: 636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.55 : 1,151.69 = 461.52 : x
  2. Step 2: Convert to fraction form
    834.55/1,151.69 = 461.52/x
  3. Step 3: Cross multiply
    834.55x = 1,151.69 × 461.52
  4. Step 4: Simplify right side
    834.55x = 531,525.66
  5. Step 5: Solve for x
    x = 531,525.66/834.55
  6. Step 6: Final answer
    x = 636.90

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1.5x scale

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.