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Finding the Fourth Proportional to 829.69, 1,244.50 and 335.95

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Solution

The fourth proportional to 829.69, 1,244.50 and 335.95 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.69 : 1,244.50 = 335.95 : x
  2. Step 2: Convert to fraction form
    829.69/1,244.50 = 335.95/x
  3. Step 3: Cross multiply
    829.69x = 1,244.50 × 335.95
  4. Step 4: Simplify right side
    829.69x = 418,088.10
  5. Step 5: Solve for x
    x = 418,088.10/829.69
  6. Step 6: Final answer
    x = 503.91

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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.