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Finding the Fourth Proportional to 824.77, 1,235.94 and 778.60

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Solution

The fourth proportional to 824.77, 1,235.94 and 778.60 is: 1,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.77 : 1,235.94 = 778.60 : x
  2. Step 2: Convert to fraction form
    824.77/1,235.94 = 778.60/x
  3. Step 3: Cross multiply
    824.77x = 1,235.94 × 778.60
  4. Step 4: Simplify right side
    824.77x = 962,302.88
  5. Step 5: Solve for x
    x = 962,302.88/824.77
  6. Step 6: Final answer
    x = 1,166.75

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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.