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Finding the Fourth Proportional to 829.84, 1,243.99 and 520.75

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Solution

The fourth proportional to 829.84, 1,243.99 and 520.75 is: 780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.84 : 1,243.99 = 520.75 : x
  2. Step 2: Convert to fraction form
    829.84/1,243.99 = 520.75/x
  3. Step 3: Cross multiply
    829.84x = 1,243.99 × 520.75
  4. Step 4: Simplify right side
    829.84x = 647,807.79
  5. Step 5: Solve for x
    x = 647,807.79/829.84
  6. Step 6: Final answer
    x = 780.64

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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.