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Finding the Fourth Proportional to 1,241.01, 1,859.07 and 824.27

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Solution

The fourth proportional to 1,241.01, 1,859.07 and 824.27 is: 1,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.01 : 1,859.07 = 824.27 : x
  2. Step 2: Convert to fraction form
    1,241.01/1,859.07 = 824.27/x
  3. Step 3: Cross multiply
    1,241.01x = 1,859.07 × 824.27
  4. Step 4: Simplify right side
    1,241.01x = 1,532,366.33
  5. Step 5: Solve for x
    x = 1,532,366.33/1,241.01
  6. Step 6: Final answer
    x = 1,234.77

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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.