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Finding the Fourth Proportional to 821.16, 1,133.46 and 793.80

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Solution

The fourth proportional to 821.16, 1,133.46 and 793.80 is: 1,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.16 : 1,133.46 = 793.80 : x
  2. Step 2: Convert to fraction form
    821.16/1,133.46 = 793.80/x
  3. Step 3: Cross multiply
    821.16x = 1,133.46 × 793.80
  4. Step 4: Simplify right side
    821.16x = 899,740.55
  5. Step 5: Solve for x
    x = 899,740.55/821.16
  6. Step 6: Final answer
    x = 1,095.69

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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.