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Finding the Fourth Proportional to 766.17, 1,057.31 and 434.63

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Solution

The fourth proportional to 766.17, 1,057.31 and 434.63 is: 599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.17 : 1,057.31 = 434.63 : x
  2. Step 2: Convert to fraction form
    766.17/1,057.31 = 434.63/x
  3. Step 3: Cross multiply
    766.17x = 1,057.31 × 434.63
  4. Step 4: Simplify right side
    766.17x = 459,531.19
  5. Step 5: Solve for x
    x = 459,531.19/766.17
  6. Step 6: Final answer
    x = 599.78

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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.