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Finding the Fourth Proportional to 824.51, 1,235.39 and 459.09

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Solution

The fourth proportional to 824.51, 1,235.39 and 459.09 is: 687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.51 : 1,235.39 = 459.09 : x
  2. Step 2: Convert to fraction form
    824.51/1,235.39 = 459.09/x
  3. Step 3: Cross multiply
    824.51x = 1,235.39 × 459.09
  4. Step 4: Simplify right side
    824.51x = 567,152.90
  5. Step 5: Solve for x
    x = 567,152.90/824.51
  6. Step 6: Final answer
    x = 687.86

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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.