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Finding the Fourth Proportional to 1,193.07, 1,786.52 and 824.02

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Solution

The fourth proportional to 1,193.07, 1,786.52 and 824.02 is: 1,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.07 : 1,786.52 = 824.02 : x
  2. Step 2: Convert to fraction form
    1,193.07/1,786.52 = 824.02/x
  3. Step 3: Cross multiply
    1,193.07x = 1,786.52 × 824.02
  4. Step 4: Simplify right side
    1,193.07x = 1,472,128.21
  5. Step 5: Solve for x
    x = 1,472,128.21/1,193.07
  6. Step 6: Final answer
    x = 1,233.90

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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.