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Finding the Fourth Proportional to 829.10, 1,241.24 and 624.53

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Solution

The fourth proportional to 829.10, 1,241.24 and 624.53 is: 934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.10 : 1,241.24 = 624.53 : x
  2. Step 2: Convert to fraction form
    829.10/1,241.24 = 624.53/x
  3. Step 3: Cross multiply
    829.10x = 1,241.24 × 624.53
  4. Step 4: Simplify right side
    829.10x = 775,186.97
  5. Step 5: Solve for x
    x = 775,186.97/829.10
  6. Step 6: Final answer
    x = 934.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.