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Finding the Fourth Proportional to 824.57, 1,235.63 and 546.33

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Solution

The fourth proportional to 824.57, 1,235.63 and 546.33 is: 818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.57 : 1,235.63 = 546.33 : x
  2. Step 2: Convert to fraction form
    824.57/1,235.63 = 546.33/x
  3. Step 3: Cross multiply
    824.57x = 1,235.63 × 546.33
  4. Step 4: Simplify right side
    824.57x = 675,063.10
  5. Step 5: Solve for x
    x = 675,063.10/824.57
  6. Step 6: Final answer
    x = 818.69

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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.