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Finding the Fourth Proportional to 823.64, 1,233.80 and 384.28

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Solution

The fourth proportional to 823.64, 1,233.80 and 384.28 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.64 : 1,233.80 = 384.28 : x
  2. Step 2: Convert to fraction form
    823.64/1,233.80 = 384.28/x
  3. Step 3: Cross multiply
    823.64x = 1,233.80 × 384.28
  4. Step 4: Simplify right side
    823.64x = 474,124.66
  5. Step 5: Solve for x
    x = 474,124.66/823.64
  6. Step 6: Final answer
    x = 575.65

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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.