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Finding the Fourth Proportional to 829.18, 1,243.86 and 783.82

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Solution

The fourth proportional to 829.18, 1,243.86 and 783.82 is: 1,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.18 : 1,243.86 = 783.82 : x
  2. Step 2: Convert to fraction form
    829.18/1,243.86 = 783.82/x
  3. Step 3: Cross multiply
    829.18x = 1,243.86 × 783.82
  4. Step 4: Simplify right side
    829.18x = 974,962.35
  5. Step 5: Solve for x
    x = 974,962.35/829.18
  6. Step 6: Final answer
    x = 1,175.82

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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.