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Finding the Fourth Proportional to 822.94, 1,234.40 and 378.15

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Solution

The fourth proportional to 822.94, 1,234.40 and 378.15 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.94 : 1,234.40 = 378.15 : x
  2. Step 2: Convert to fraction form
    822.94/1,234.40 = 378.15/x
  3. Step 3: Cross multiply
    822.94x = 1,234.40 × 378.15
  4. Step 4: Simplify right side
    822.94x = 466,788.36
  5. Step 5: Solve for x
    x = 466,788.36/822.94
  6. Step 6: Final answer
    x = 567.22

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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.