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Finding the Fourth Proportional to 829.53, 1,144.85 and 514.89

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Solution

The fourth proportional to 829.53, 1,144.85 and 514.89 is: 710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.53 : 1,144.85 = 514.89 : x
  2. Step 2: Convert to fraction form
    829.53/1,144.85 = 514.89/x
  3. Step 3: Cross multiply
    829.53x = 1,144.85 × 514.89
  4. Step 4: Simplify right side
    829.53x = 589,469.24
  5. Step 5: Solve for x
    x = 589,469.24/829.53
  6. Step 6: Final answer
    x = 710.61

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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.