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Finding the Fourth Proportional to 766.07, 1,057.22 and 434.37

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Solution

The fourth proportional to 766.07, 1,057.22 and 434.37 is: 599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.07 : 1,057.22 = 434.37 : x
  2. Step 2: Convert to fraction form
    766.07/1,057.22 = 434.37/x
  3. Step 3: Cross multiply
    766.07x = 1,057.22 × 434.37
  4. Step 4: Simplify right side
    766.07x = 459,224.65
  5. Step 5: Solve for x
    x = 459,224.65/766.07
  6. Step 6: Final answer
    x = 599.46

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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.