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Finding the Fourth Proportional to 824.80, 1,227.96 and 824.80

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Solution

The fourth proportional to 824.80, 1,227.96 and 824.80 is: 1,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.80 : 1,227.96 = 824.80 : x
  2. Step 2: Convert to fraction form
    824.80/1,227.96 = 824.80/x
  3. Step 3: Cross multiply
    824.80x = 1,227.96 × 824.80
  4. Step 4: Simplify right side
    824.80x = 1,012,821.41
  5. Step 5: Solve for x
    x = 1,012,821.41/824.80
  6. Step 6: Final answer
    x = 1,227.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.