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Finding the Fourth Proportional to 834.64, 1,151.76 and 461.60

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Solution

The fourth proportional to 834.64, 1,151.76 and 461.60 is: 636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.64 : 1,151.76 = 461.60 : x
  2. Step 2: Convert to fraction form
    834.64/1,151.76 = 461.60/x
  3. Step 3: Cross multiply
    834.64x = 1,151.76 × 461.60
  4. Step 4: Simplify right side
    834.64x = 531,652.42
  5. Step 5: Solve for x
    x = 531,652.42/834.64
  6. Step 6: Final answer
    x = 636.98

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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.