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Finding the Fourth Proportional to 1,241.76, 1,861.56 and 829.74

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Solution

The fourth proportional to 1,241.76, 1,861.56 and 829.74 is: 1,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.76 : 1,861.56 = 829.74 : x
  2. Step 2: Convert to fraction form
    1,241.76/1,861.56 = 829.74/x
  3. Step 3: Cross multiply
    1,241.76x = 1,861.56 × 829.74
  4. Step 4: Simplify right side
    1,241.76x = 1,544,610.79
  5. Step 5: Solve for x
    x = 1,544,610.79/1,241.76
  6. Step 6: Final answer
    x = 1,243.89

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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.