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Finding the Fourth Proportional to 766.39, 1,057.64 and 434.80

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Solution

The fourth proportional to 766.39, 1,057.64 and 434.80 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.39 : 1,057.64 = 434.80 : x
  2. Step 2: Convert to fraction form
    766.39/1,057.64 = 434.80/x
  3. Step 3: Cross multiply
    766.39x = 1,057.64 × 434.80
  4. Step 4: Simplify right side
    766.39x = 459,864.52
  5. Step 5: Solve for x
    x = 459,864.52/766.39
  6. Step 6: Final answer
    x = 600.04

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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.