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Finding the Fourth Proportional to 829.11, 1,144.26 and 514.58

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Solution

The fourth proportional to 829.11, 1,144.26 and 514.58 is: 710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.11 : 1,144.26 = 514.58 : x
  2. Step 2: Convert to fraction form
    829.11/1,144.26 = 514.58/x
  3. Step 3: Cross multiply
    829.11x = 1,144.26 × 514.58
  4. Step 4: Simplify right side
    829.11x = 588,807.59
  5. Step 5: Solve for x
    x = 588,807.59/829.11
  6. Step 6: Final answer
    x = 710.17

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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.