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Finding the Fourth Proportional to 765.97, 1,057.08 and 434.27

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Solution

The fourth proportional to 765.97, 1,057.08 and 434.27 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.97 : 1,057.08 = 434.27 : x
  2. Step 2: Convert to fraction form
    765.97/1,057.08 = 434.27/x
  3. Step 3: Cross multiply
    765.97x = 1,057.08 × 434.27
  4. Step 4: Simplify right side
    765.97x = 459,062.40
  5. Step 5: Solve for x
    x = 459,062.40/765.97
  6. Step 6: Final answer
    x = 599.32

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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.