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Finding the Fourth Proportional to 824.62, 1,235.79 and 477.73

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Solution

The fourth proportional to 824.62, 1,235.79 and 477.73 is: 715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.62 : 1,235.79 = 477.73 : x
  2. Step 2: Convert to fraction form
    824.62/1,235.79 = 477.73/x
  3. Step 3: Cross multiply
    824.62x = 1,235.79 × 477.73
  4. Step 4: Simplify right side
    824.62x = 590,373.96
  5. Step 5: Solve for x
    x = 590,373.96/824.62
  6. Step 6: Final answer
    x = 715.93

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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.