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Finding the Fourth Proportional to 765.87, 1,057.09 and 434.49

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Solution

The fourth proportional to 765.87, 1,057.09 and 434.49 is: 599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.87 : 1,057.09 = 434.49 : x
  2. Step 2: Convert to fraction form
    765.87/1,057.09 = 434.49/x
  3. Step 3: Cross multiply
    765.87x = 1,057.09 × 434.49
  4. Step 4: Simplify right side
    765.87x = 459,295.03
  5. Step 5: Solve for x
    x = 459,295.03/765.87
  6. Step 6: Final answer
    x = 599.70

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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.