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Finding the Fourth Proportional to 766.89, 1,057.87 and 471.95

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Solution

The fourth proportional to 766.89, 1,057.87 and 471.95 is: 651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,057.87 = 471.95 : x
  2. Step 2: Convert to fraction form
    766.89/1,057.87 = 471.95/x
  3. Step 3: Cross multiply
    766.89x = 1,057.87 × 471.95
  4. Step 4: Simplify right side
    766.89x = 499,261.01
  5. Step 5: Solve for x
    x = 499,261.01/766.89
  6. Step 6: Final answer
    x = 651.02

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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.