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Finding the Fourth Proportional to 766.54, 1,057.08 and 467.56

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Solution

The fourth proportional to 766.54, 1,057.08 and 467.56 is: 644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.54 : 1,057.08 = 467.56 : x
  2. Step 2: Convert to fraction form
    766.54/1,057.08 = 467.56/x
  3. Step 3: Cross multiply
    766.54x = 1,057.08 × 467.56
  4. Step 4: Simplify right side
    766.54x = 494,248.32
  5. Step 5: Solve for x
    x = 494,248.32/766.54
  6. Step 6: Final answer
    x = 644.78

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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.