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Finding the Fourth Proportional to 822.35, 1,233.80 and 383.81

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Solution

The fourth proportional to 822.35, 1,233.80 and 383.81 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,233.80 = 383.81 : x
  2. Step 2: Convert to fraction form
    822.35/1,233.80 = 383.81/x
  3. Step 3: Cross multiply
    822.35x = 1,233.80 × 383.81
  4. Step 4: Simplify right side
    822.35x = 473,542.86
  5. Step 5: Solve for x
    x = 473,542.86/822.35
  6. Step 6: Final answer
    x = 575.84

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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.