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Finding the Fourth Proportional to 824.83, 1,144.10 and 795.28

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Solution

The fourth proportional to 824.83, 1,144.10 and 795.28 is: 1,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.83 : 1,144.10 = 795.28 : x
  2. Step 2: Convert to fraction form
    824.83/1,144.10 = 795.28/x
  3. Step 3: Cross multiply
    824.83x = 1,144.10 × 795.28
  4. Step 4: Simplify right side
    824.83x = 909,879.85
  5. Step 5: Solve for x
    x = 909,879.85/824.83
  6. Step 6: Final answer
    x = 1,103.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.