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Finding the Fourth Proportional to 766.47, 1,057.65 and 434.91

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Solution

The fourth proportional to 766.47, 1,057.65 and 434.91 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.47 : 1,057.65 = 434.91 : x
  2. Step 2: Convert to fraction form
    766.47/1,057.65 = 434.91/x
  3. Step 3: Cross multiply
    766.47x = 1,057.65 × 434.91
  4. Step 4: Simplify right side
    766.47x = 459,982.56
  5. Step 5: Solve for x
    x = 459,982.56/766.47
  6. Step 6: Final answer
    x = 600.13

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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.