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Finding the Fourth Proportional to 824.86, 1,138.48 and 798.84

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Solution

The fourth proportional to 824.86, 1,138.48 and 798.84 is: 1,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,138.48 = 798.84 : x
  2. Step 2: Convert to fraction form
    824.86/1,138.48 = 798.84/x
  3. Step 3: Cross multiply
    824.86x = 1,138.48 × 798.84
  4. Step 4: Simplify right side
    824.86x = 909,463.36
  5. Step 5: Solve for x
    x = 909,463.36/824.86
  6. Step 6: Final answer
    x = 1,102.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.