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Finding the Fourth Proportional to 822.88, 1,234.05 and 274.91

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Solution

The fourth proportional to 822.88, 1,234.05 and 274.91 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.88 : 1,234.05 = 274.91 : x
  2. Step 2: Convert to fraction form
    822.88/1,234.05 = 274.91/x
  3. Step 3: Cross multiply
    822.88x = 1,234.05 × 274.91
  4. Step 4: Simplify right side
    822.88x = 339,251.31
  5. Step 5: Solve for x
    x = 339,251.31/822.88
  6. Step 6: Final answer
    x = 412.28

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1.5x scale

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.