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Finding the Fourth Proportional to 852.11, 1,267.21 and 824.77

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Solution

The fourth proportional to 852.11, 1,267.21 and 824.77 is: 1,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.11 : 1,267.21 = 824.77 : x
  2. Step 2: Convert to fraction form
    852.11/1,267.21 = 824.77/x
  3. Step 3: Cross multiply
    852.11x = 1,267.21 × 824.77
  4. Step 4: Simplify right side
    852.11x = 1,045,156.79
  5. Step 5: Solve for x
    x = 1,045,156.79/852.11
  6. Step 6: Final answer
    x = 1,226.55

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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.