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Finding the Fourth Proportional to 827.42, 1,223.81 and 827.42

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Solution

The fourth proportional to 827.42, 1,223.81 and 827.42 is: 1,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.42 : 1,223.81 = 827.42 : x
  2. Step 2: Convert to fraction form
    827.42/1,223.81 = 827.42/x
  3. Step 3: Cross multiply
    827.42x = 1,223.81 × 827.42
  4. Step 4: Simplify right side
    827.42x = 1,012,597.72
  5. Step 5: Solve for x
    x = 1,012,597.72/827.42
  6. Step 6: Final answer
    x = 1,223.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.