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Finding the Fourth Proportional to 824.80, 1,235.64 and 515.20

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Solution

The fourth proportional to 824.80, 1,235.64 and 515.20 is: 771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.80 : 1,235.64 = 515.20 : x
  2. Step 2: Convert to fraction form
    824.80/1,235.64 = 515.20/x
  3. Step 3: Cross multiply
    824.80x = 1,235.64 × 515.20
  4. Step 4: Simplify right side
    824.80x = 636,601.73
  5. Step 5: Solve for x
    x = 636,601.73/824.80
  6. Step 6: Final answer
    x = 771.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.