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Finding the Fourth Proportional to 829.05, 1,241.09 and 462.93

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Solution

The fourth proportional to 829.05, 1,241.09 and 462.93 is: 693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.05 : 1,241.09 = 462.93 : x
  2. Step 2: Convert to fraction form
    829.05/1,241.09 = 462.93/x
  3. Step 3: Cross multiply
    829.05x = 1,241.09 × 462.93
  4. Step 4: Simplify right side
    829.05x = 574,537.79
  5. Step 5: Solve for x
    x = 574,537.79/829.05
  6. Step 6: Final answer
    x = 693.01

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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.